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Finding the Fourth Proportional to 267,398, 400,963.45 and 87,459.94

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Solution

The fourth proportional to 267,398, 400,963.45 and 87,459.94 is: 131,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,398 : 400,963.45 = 87,459.94 : x
  2. Step 2: Convert to fraction form
    267,398/400,963.45 = 87,459.94/x
  3. Step 3: Cross multiply
    267,398x = 400,963.45 × 87,459.94
  4. Step 4: Simplify right side
    267,398x = 35,068,239,279.19
  5. Step 5: Solve for x
    x = 35,068,239,279.19/267,398
  6. Step 6: Final answer
    x = 131,146.23

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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.