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Finding the Fourth Proportional to 522,853.28, 721,760.81 and 442,699.73

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Solution

The fourth proportional to 522,853.28, 721,760.81 and 442,699.73 is: 611,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,853.28 : 721,760.81 = 442,699.73 : x
  2. Step 2: Convert to fraction form
    522,853.28/721,760.81 = 442,699.73/x
  3. Step 3: Cross multiply
    522,853.28x = 721,760.81 × 442,699.73
  4. Step 4: Simplify right side
    522,853.28x = 319,523,312,102.78
  5. Step 5: Solve for x
    x = 319,523,312,102.78/522,853.28
  6. Step 6: Final answer
    x = 611,114.68

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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.