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Finding the Fourth Proportional to 491,056.40, 689,345.20 and 491,056.40

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Solution

The fourth proportional to 491,056.40, 689,345.20 and 491,056.40 is: 689,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,056.40 : 689,345.20 = 491,056.40 : x
  2. Step 2: Convert to fraction form
    491,056.40/689,345.20 = 491,056.40/x
  3. Step 3: Cross multiply
    491,056.40x = 689,345.20 × 491,056.40
  4. Step 4: Simplify right side
    491,056.40x = 338,507,372,269.28
  5. Step 5: Solve for x
    x = 338,507,372,269.28/491,056.40
  6. Step 6: Final answer
    x = 689,345.20

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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 (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.