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Finding the Fourth Proportional to 614,358.38, 847,711.86 and 342,366.68

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Solution

The fourth proportional to 614,358.38, 847,711.86 and 342,366.68 is: 472,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,358.38 : 847,711.86 = 342,366.68 : x
  2. Step 2: Convert to fraction form
    614,358.38/847,711.86 = 342,366.68/x
  3. Step 3: Cross multiply
    614,358.38x = 847,711.86 × 342,366.68
  4. Step 4: Simplify right side
    614,358.38x = 290,228,295,104.83
  5. Step 5: Solve for x
    x = 290,228,295,104.83/614,358.38
  6. Step 6: Final answer
    x = 472,408.78

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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.