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Finding the Fourth Proportional to 643,741.60, 965,612.40 and 420,919.20

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Solution

The fourth proportional to 643,741.60, 965,612.40 and 420,919.20 is: 631,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,741.60 : 965,612.40 = 420,919.20 : x
  2. Step 2: Convert to fraction form
    643,741.60/965,612.40 = 420,919.20/x
  3. Step 3: Cross multiply
    643,741.60x = 965,612.40 × 420,919.20
  4. Step 4: Simplify right side
    643,741.60x = 406,444,798,918.08
  5. Step 5: Solve for x
    x = 406,444,798,918.08/643,741.60
  6. Step 6: Final answer
    x = 631,378.80

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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.