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Finding the Fourth Proportional to 339,139.20, 508,781.70 and 102,505.80

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Solution

The fourth proportional to 339,139.20, 508,781.70 and 102,505.80 is: 153,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,139.20 : 508,781.70 = 102,505.80 : x
  2. Step 2: Convert to fraction form
    339,139.20/508,781.70 = 102,505.80/x
  3. Step 3: Cross multiply
    339,139.20x = 508,781.70 × 102,505.80
  4. Step 4: Simplify right side
    339,139.20x = 52,153,075,183.86
  5. Step 5: Solve for x
    x = 52,153,075,183.86/339,139.20
  6. Step 6: Final answer
    x = 153,780.73

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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.