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Finding the Fourth Proportional to 730,250.40, 1,007,732.88 and 407,940

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Solution

The fourth proportional to 730,250.40, 1,007,732.88 and 407,940 is: 562,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,250.40 : 1,007,732.88 = 407,940 : x
  2. Step 2: Convert to fraction form
    730,250.40/1,007,732.88 = 407,940/x
  3. Step 3: Cross multiply
    730,250.40x = 1,007,732.88 × 407,940
  4. Step 4: Simplify right side
    730,250.40x = 411,094,551,067.20
  5. Step 5: Solve for x
    x = 411,094,551,067.20/730,250.40
  6. Step 6: Final answer
    x = 562,950.12

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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.