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Finding the Fourth Proportional to 385,302.60, 577,953.90 and 267,107.40

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Solution

The fourth proportional to 385,302.60, 577,953.90 and 267,107.40 is: 400,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,302.60 : 577,953.90 = 267,107.40 : x
  2. Step 2: Convert to fraction form
    385,302.60/577,953.90 = 267,107.40/x
  3. Step 3: Cross multiply
    385,302.60x = 577,953.90 × 267,107.40
  4. Step 4: Simplify right side
    385,302.60x = 154,375,763,548.86
  5. Step 5: Solve for x
    x = 154,375,763,548.86/385,302.60
  6. Step 6: Final answer
    x = 400,661.10

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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.