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Finding the Fourth Proportional to 493,755.88, 740,633.82 and 138,769.91

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Solution

The fourth proportional to 493,755.88, 740,633.82 and 138,769.91 is: 208,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,755.88 : 740,633.82 = 138,769.91 : x
  2. Step 2: Convert to fraction form
    493,755.88/740,633.82 = 138,769.91/x
  3. Step 3: Cross multiply
    493,755.88x = 740,633.82 × 138,769.91
  4. Step 4: Simplify right side
    493,755.88x = 102,777,684,841.19
  5. Step 5: Solve for x
    x = 102,777,684,841.19/493,755.88
  6. Step 6: Final answer
    x = 208,154.86

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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.