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Finding the Fourth Proportional to 338,793.84, 508,192.92 and 102,135.60

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Solution

The fourth proportional to 338,793.84, 508,192.92 and 102,135.60 is: 153,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,793.84 : 508,192.92 = 102,135.60 : x
  2. Step 2: Convert to fraction form
    338,793.84/508,192.92 = 102,135.60/x
  3. Step 3: Cross multiply
    338,793.84x = 508,192.92 × 102,135.60
  4. Step 4: Simplify right side
    338,793.84x = 51,904,588,799.95
  5. Step 5: Solve for x
    x = 51,904,588,799.95/338,793.84
  6. Step 6: Final answer
    x = 153,204.05

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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.