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Finding the Fourth Proportional to 491,552.10, 678,178.17 and 400,751.64

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Solution

The fourth proportional to 491,552.10, 678,178.17 and 400,751.64 is: 552,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,552.10 : 678,178.17 = 400,751.64 : x
  2. Step 2: Convert to fraction form
    491,552.10/678,178.17 = 400,751.64/x
  3. Step 3: Cross multiply
    491,552.10x = 678,178.17 × 400,751.64
  4. Step 4: Simplify right side
    491,552.10x = 271,781,013,839.70
  5. Step 5: Solve for x
    x = 271,781,013,839.70/491,552.10
  6. Step 6: Final answer
    x = 552,903.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.