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Finding the Fourth Proportional to 497,761.40, 746,642.10 and 142,743.80

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Solution

The fourth proportional to 497,761.40, 746,642.10 and 142,743.80 is: 214,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,761.40 : 746,642.10 = 142,743.80 : x
  2. Step 2: Convert to fraction form
    497,761.40/746,642.10 = 142,743.80/x
  3. Step 3: Cross multiply
    497,761.40x = 746,642.10 × 142,743.80
  4. Step 4: Simplify right side
    497,761.40x = 106,578,530,593.98
  5. Step 5: Solve for x
    x = 106,578,530,593.98/497,761.40
  6. Step 6: Final answer
    x = 214,115.70

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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.