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Finding the Fourth Proportional to 385,020.68, 577,493.22 and 118,709.24

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Solution

The fourth proportional to 385,020.68, 577,493.22 and 118,709.24 is: 178,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,020.68 : 577,493.22 = 118,709.24 : x
  2. Step 2: Convert to fraction form
    385,020.68/577,493.22 = 118,709.24/x
  3. Step 3: Cross multiply
    385,020.68x = 577,493.22 × 118,709.24
  4. Step 4: Simplify right side
    385,020.68x = 68,553,781,251.35
  5. Step 5: Solve for x
    x = 68,553,781,251.35/385,020.68
  6. Step 6: Final answer
    x = 178,052.21

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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.