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Finding the Fourth Proportional to 337,384.80, 506,077.20 and 137,638.80

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Solution

The fourth proportional to 337,384.80, 506,077.20 and 137,638.80 is: 206,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,384.80 : 506,077.20 = 137,638.80 : x
  2. Step 2: Convert to fraction form
    337,384.80/506,077.20 = 137,638.80/x
  3. Step 3: Cross multiply
    337,384.80x = 506,077.20 × 137,638.80
  4. Step 4: Simplify right side
    337,384.80x = 69,655,858,515.36
  5. Step 5: Solve for x
    x = 69,655,858,515.36/337,384.80
  6. Step 6: Final answer
    x = 206,458.20

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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.