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Finding the Fourth Proportional to 310,981.17, 466,255.32 and 137,778.86

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Solution

The fourth proportional to 310,981.17, 466,255.32 and 137,778.86 is: 206,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,981.17 : 466,255.32 = 137,778.86 : x
  2. Step 2: Convert to fraction form
    310,981.17/466,255.32 = 137,778.86/x
  3. Step 3: Cross multiply
    310,981.17x = 466,255.32 × 137,778.86
  4. Step 4: Simplify right side
    310,981.17x = 64,240,126,458.54
  5. Step 5: Solve for x
    x = 64,240,126,458.54/310,981.17
  6. Step 6: Final answer
    x = 206,572.40

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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.