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Finding the Fourth Proportional to 385,102.92, 577,600.92 and 118,872.12

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Solution

The fourth proportional to 385,102.92, 577,600.92 and 118,872.12 is: 178,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,102.92 : 577,600.92 = 118,872.12 : x
  2. Step 2: Convert to fraction form
    385,102.92/577,600.92 = 118,872.12/x
  3. Step 3: Cross multiply
    385,102.92x = 577,600.92 × 118,872.12
  4. Step 4: Simplify right side
    385,102.92x = 68,660,645,874.35
  5. Step 5: Solve for x
    x = 68,660,645,874.35/385,102.92
  6. Step 6: Final answer
    x = 178,291.68

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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.