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Finding the Fourth Proportional to 385,238.98, 577,714.78 and 132,447.90

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Solution

The fourth proportional to 385,238.98, 577,714.78 and 132,447.90 is: 198,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,238.98 : 577,714.78 = 132,447.90 : x
  2. Step 2: Convert to fraction form
    385,238.98/577,714.78 = 132,447.90/x
  3. Step 3: Cross multiply
    385,238.98x = 577,714.78 × 132,447.90
  4. Step 4: Simplify right side
    385,238.98x = 76,517,109,409.96
  5. Step 5: Solve for x
    x = 76,517,109,409.96/385,238.98
  6. Step 6: Final answer
    x = 198,622.45

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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.