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Finding the Fourth Proportional to 385,245.50, 577,724.54 and 132,454.40

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Solution

The fourth proportional to 385,245.50, 577,724.54 and 132,454.40 is: 198,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,245.50 : 577,724.54 = 132,454.40 : x
  2. Step 2: Convert to fraction form
    385,245.50/577,724.54 = 132,454.40/x
  3. Step 3: Cross multiply
    385,245.50x = 577,724.54 × 132,454.40
  4. Step 4: Simplify right side
    385,245.50x = 76,522,153,760.08
  5. Step 5: Solve for x
    x = 76,522,153,760.08/385,245.50
  6. Step 6: Final answer
    x = 198,632.18

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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.