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Finding the Fourth Proportional to 307,384.50, 424,193.85 and 173,248.50

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Solution

The fourth proportional to 307,384.50, 424,193.85 and 173,248.50 is: 239,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,384.50 : 424,193.85 = 173,248.50 : x
  2. Step 2: Convert to fraction form
    307,384.50/424,193.85 = 173,248.50/x
  3. Step 3: Cross multiply
    307,384.50x = 424,193.85 × 173,248.50
  4. Step 4: Simplify right side
    307,384.50x = 73,490,948,221.73
  5. Step 5: Solve for x
    x = 73,490,948,221.73/307,384.50
  6. Step 6: Final answer
    x = 239,084.76

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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.