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Finding the Fourth Proportional to 339,206.40, 508,883.40 and 102,542.90

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Solution

The fourth proportional to 339,206.40, 508,883.40 and 102,542.90 is: 153,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,206.40 : 508,883.40 = 102,542.90 : x
  2. Step 2: Convert to fraction form
    339,206.40/508,883.40 = 102,542.90/x
  3. Step 3: Cross multiply
    339,206.40x = 508,883.40 × 102,542.90
  4. Step 4: Simplify right side
    339,206.40x = 52,182,377,053.44
  5. Step 5: Solve for x
    x = 52,182,377,053.44/339,206.40
  6. Step 6: Final answer
    x = 153,836.65

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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.