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Finding the Fourth Proportional to 385,277.60, 577,138.80 and 267,082.40

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Solution

The fourth proportional to 385,277.60, 577,138.80 and 267,082.40 is: 400,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,277.60 : 577,138.80 = 267,082.40 : x
  2. Step 2: Convert to fraction form
    385,277.60/577,138.80 = 267,082.40/x
  3. Step 3: Cross multiply
    385,277.60x = 577,138.80 × 267,082.40
  4. Step 4: Simplify right side
    385,277.60x = 154,143,615,837.12
  5. Step 5: Solve for x
    x = 154,143,615,837.12/385,277.60
  6. Step 6: Final answer
    x = 400,084.55

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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.