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Finding the Fourth Proportional to 522,853.77, 721,761.50 and 442,700.22

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Solution

The fourth proportional to 522,853.77, 721,761.50 and 442,700.22 is: 611,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,853.77 : 721,761.50 = 442,700.22 : x
  2. Step 2: Convert to fraction form
    522,853.77/721,761.50 = 442,700.22/x
  3. Step 3: Cross multiply
    522,853.77x = 721,761.50 × 442,700.22
  4. Step 4: Simplify right side
    522,853.77x = 319,523,974,837.53
  5. Step 5: Solve for x
    x = 319,523,974,837.53/522,853.77
  6. Step 6: Final answer
    x = 611,115.37

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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.