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Finding the Fourth Proportional to 643,742.60, 965,613.90 and 420,920.20

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Solution

The fourth proportional to 643,742.60, 965,613.90 and 420,920.20 is: 631,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,742.60 : 965,613.90 = 420,920.20 : x
  2. Step 2: Convert to fraction form
    643,742.60/965,613.90 = 420,920.20/x
  3. Step 3: Cross multiply
    643,742.60x = 965,613.90 × 420,920.20
  4. Step 4: Simplify right side
    643,742.60x = 406,446,395,910.78
  5. Step 5: Solve for x
    x = 406,446,395,910.78/643,742.60
  6. Step 6: Final answer
    x = 631,380.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.