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Finding the Fourth Proportional to 337,631.60, 506,447.40 and 137,820.80

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Solution

The fourth proportional to 337,631.60, 506,447.40 and 137,820.80 is: 206,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,631.60 : 506,447.40 = 137,820.80 : x
  2. Step 2: Convert to fraction form
    337,631.60/506,447.40 = 137,820.80/x
  3. Step 3: Cross multiply
    337,631.60x = 506,447.40 × 137,820.80
  4. Step 4: Simplify right side
    337,631.60x = 69,798,985,825.92
  5. Step 5: Solve for x
    x = 69,798,985,825.92/337,631.60
  6. Step 6: Final answer
    x = 206,731.20

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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.