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Finding the Fourth Proportional to 315,142.38, 472,319.34 and 157,414.86

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Solution

The fourth proportional to 315,142.38, 472,319.34 and 157,414.86 is: 235,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,142.38 : 472,319.34 = 157,414.86 : x
  2. Step 2: Convert to fraction form
    315,142.38/472,319.34 = 157,414.86/x
  3. Step 3: Cross multiply
    315,142.38x = 472,319.34 × 157,414.86
  4. Step 4: Simplify right side
    315,142.38x = 74,350,082,781.39
  5. Step 5: Solve for x
    x = 74,350,082,781.39/315,142.38
  6. Step 6: Final answer
    x = 235,925.37

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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.