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Finding the Fourth Proportional to 385,034.85, 577,553.25 and 157,330.47

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Solution

The fourth proportional to 385,034.85, 577,553.25 and 157,330.47 is: 235,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,034.85 : 577,553.25 = 157,330.47 : x
  2. Step 2: Convert to fraction form
    385,034.85/577,553.25 = 157,330.47/x
  3. Step 3: Cross multiply
    385,034.85x = 577,553.25 × 157,330.47
  4. Step 4: Simplify right side
    385,034.85x = 90,866,724,272.53
  5. Step 5: Solve for x
    x = 90,866,724,272.53/385,034.85
  6. Step 6: Final answer
    x = 235,996.11

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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.