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Finding the Fourth Proportional to 385,324.60, 577,209.30 and 267,129.40

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Solution

The fourth proportional to 385,324.60, 577,209.30 and 267,129.40 is: 400,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,324.60 : 577,209.30 = 267,129.40 : x
  2. Step 2: Convert to fraction form
    385,324.60/577,209.30 = 267,129.40/x
  3. Step 3: Cross multiply
    385,324.60x = 577,209.30 × 267,129.40
  4. Step 4: Simplify right side
    385,324.60x = 154,189,573,983.42
  5. Step 5: Solve for x
    x = 154,189,573,983.42/385,324.60
  6. Step 6: Final answer
    x = 400,155.02

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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.