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Finding the Fourth Proportional to 493,255.05, 739,827.90 and 138,304.95

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Solution

The fourth proportional to 493,255.05, 739,827.90 and 138,304.95 is: 207,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,255.05 : 739,827.90 = 138,304.95 : x
  2. Step 2: Convert to fraction form
    493,255.05/739,827.90 = 138,304.95/x
  3. Step 3: Cross multiply
    493,255.05x = 739,827.90 × 138,304.95
  4. Step 4: Simplify right side
    493,255.05x = 102,321,860,718.11
  5. Step 5: Solve for x
    x = 102,321,860,718.11/493,255.05
  6. Step 6: Final answer
    x = 207,442.09

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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.