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Finding the Fourth Proportional to 497,640.60, 746,315.10 and 231,336.90

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Solution

The fourth proportional to 497,640.60, 746,315.10 and 231,336.90 is: 346,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,640.60 : 746,315.10 = 231,336.90 : x
  2. Step 2: Convert to fraction form
    497,640.60/746,315.10 = 231,336.90/x
  3. Step 3: Cross multiply
    497,640.60x = 746,315.10 × 231,336.90
  4. Step 4: Simplify right side
    497,640.60x = 172,650,221,657.19
  5. Step 5: Solve for x
    x = 172,650,221,657.19/497,640.60
  6. Step 6: Final answer
    x = 346,937.57

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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.