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Finding the Fourth Proportional to 614,270.80, 847,694.37 and 342,332.54

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Solution

The fourth proportional to 614,270.80, 847,694.37 and 342,332.54 is: 472,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,270.80 : 847,694.37 = 342,332.54 : x
  2. Step 2: Convert to fraction form
    614,270.80/847,694.37 = 342,332.54/x
  3. Step 3: Cross multiply
    614,270.80x = 847,694.37 × 342,332.54
  4. Step 4: Simplify right side
    614,270.80x = 290,193,367,049.93
  5. Step 5: Solve for x
    x = 290,193,367,049.93/614,270.80
  6. Step 6: Final answer
    x = 472,419.28

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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.