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Finding the Fourth Proportional to 523,172, 721,977.36 and 284,708

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Solution

The fourth proportional to 523,172, 721,977.36 and 284,708 is: 392,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,172 : 721,977.36 = 284,708 : x
  2. Step 2: Convert to fraction form
    523,172/721,977.36 = 284,708/x
  3. Step 3: Cross multiply
    523,172x = 721,977.36 × 284,708
  4. Step 4: Simplify right side
    523,172x = 205,552,730,210.88
  5. Step 5: Solve for x
    x = 205,552,730,210.88/523,172
  6. Step 6: Final answer
    x = 392,897.04

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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.