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Finding the Fourth Proportional to 497,311.52, 745,972.47 and 398,102.38

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Solution

The fourth proportional to 497,311.52, 745,972.47 and 398,102.38 is: 597,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,311.52 : 745,972.47 = 398,102.38 : x
  2. Step 2: Convert to fraction form
    497,311.52/745,972.47 = 398,102.38/x
  3. Step 3: Cross multiply
    497,311.52x = 745,972.47 × 398,102.38
  4. Step 4: Simplify right side
    497,311.52x = 296,973,413,856.55
  5. Step 5: Solve for x
    x = 296,973,413,856.55/497,311.52
  6. Step 6: Final answer
    x = 597,157.73

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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.