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Finding the Fourth Proportional to 718,966.32, 992,205.18 and 413,138.64

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Solution

The fourth proportional to 718,966.32, 992,205.18 and 413,138.64 is: 570,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,966.32 : 992,205.18 = 413,138.64 : x
  2. Step 2: Convert to fraction form
    718,966.32/992,205.18 = 413,138.64/x
  3. Step 3: Cross multiply
    718,966.32x = 992,205.18 × 413,138.64
  4. Step 4: Simplify right side
    718,966.32x = 409,918,298,666.16
  5. Step 5: Solve for x
    x = 409,918,298,666.16/718,966.32
  6. Step 6: Final answer
    x = 570,149.52

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.