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Finding the Fourth Proportional to 338,692.92, 508,053.42 and 138,872.40

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Solution

The fourth proportional to 338,692.92, 508,053.42 and 138,872.40 is: 208,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,692.92 : 508,053.42 = 138,872.40 : x
  2. Step 2: Convert to fraction form
    338,692.92/508,053.42 = 138,872.40/x
  3. Step 3: Cross multiply
    338,692.92x = 508,053.42 × 138,872.40
  4. Step 4: Simplify right side
    338,692.92x = 70,554,597,763.61
  5. Step 5: Solve for x
    x = 70,554,597,763.61/338,692.92
  6. Step 6: Final answer
    x = 208,314.36

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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.