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Finding the Fourth Proportional to 395,156.70, 592,760.52 and 138,957.84

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Solution

The fourth proportional to 395,156.70, 592,760.52 and 138,957.84 is: 208,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,156.70 : 592,760.52 = 138,957.84 : x
  2. Step 2: Convert to fraction form
    395,156.70/592,760.52 = 138,957.84/x
  3. Step 3: Cross multiply
    395,156.70x = 592,760.52 × 138,957.84
  4. Step 4: Simplify right side
    395,156.70x = 82,368,721,496.48
  5. Step 5: Solve for x
    x = 82,368,721,496.48/395,156.70
  6. Step 6: Final answer
    x = 208,445.72

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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.