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Finding the Fourth Proportional to 267,005.40, 400,445.78 and 77,414.88

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Solution

The fourth proportional to 267,005.40, 400,445.78 and 77,414.88 is: 116,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,005.40 : 400,445.78 = 77,414.88 : x
  2. Step 2: Convert to fraction form
    267,005.40/400,445.78 = 77,414.88/x
  3. Step 3: Cross multiply
    267,005.40x = 400,445.78 × 77,414.88
  4. Step 4: Simplify right side
    267,005.40x = 31,000,462,005.21
  5. Step 5: Solve for x
    x = 31,000,462,005.21/267,005.40
  6. Step 6: Final answer
    x = 116,104.25

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1.5x scale

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.