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Finding the Fourth Proportional to 475,143.42, 712,826.86 and 138,191.52

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Solution

The fourth proportional to 475,143.42, 712,826.86 and 138,191.52 is: 207,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,143.42 : 712,826.86 = 138,191.52 : x
  2. Step 2: Convert to fraction form
    475,143.42/712,826.86 = 138,191.52/x
  3. Step 3: Cross multiply
    475,143.42x = 712,826.86 × 138,191.52
  4. Step 4: Simplify right side
    475,143.42x = 98,506,627,280.23
  5. Step 5: Solve for x
    x = 98,506,627,280.23/475,143.42
  6. Step 6: Final answer
    x = 207,319.78

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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.