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Finding the Fourth Proportional to 713,632.68, 1,070,449.02 and 287,298.90

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Solution

The fourth proportional to 713,632.68, 1,070,449.02 and 287,298.90 is: 430,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,632.68 : 1,070,449.02 = 287,298.90 : x
  2. Step 2: Convert to fraction form
    713,632.68/1,070,449.02 = 287,298.90/x
  3. Step 3: Cross multiply
    713,632.68x = 1,070,449.02 × 287,298.90
  4. Step 4: Simplify right side
    713,632.68x = 307,538,825,952.08
  5. Step 5: Solve for x
    x = 307,538,825,952.08/713,632.68
  6. Step 6: Final answer
    x = 430,948.35

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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.