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Finding the Fourth Proportional to 497,483.48, 746,239.84 and 137,657.29

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Solution

The fourth proportional to 497,483.48, 746,239.84 and 137,657.29 is: 206,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,483.48 : 746,239.84 = 137,657.29 : x
  2. Step 2: Convert to fraction form
    497,483.48/746,239.84 = 137,657.29/x
  3. Step 3: Cross multiply
    497,483.48x = 746,239.84 × 137,657.29
  4. Step 4: Simplify right side
    497,483.48x = 102,725,351,854.69
  5. Step 5: Solve for x
    x = 102,725,351,854.69/497,483.48
  6. Step 6: Final answer
    x = 206,489.97

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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.