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Finding the Fourth Proportional to 657,310.78, 985,966.20 and 158,674.78

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Solution

The fourth proportional to 657,310.78, 985,966.20 and 158,674.78 is: 238,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,310.78 : 985,966.20 = 158,674.78 : x
  2. Step 2: Convert to fraction form
    657,310.78/985,966.20 = 158,674.78/x
  3. Step 3: Cross multiply
    657,310.78x = 985,966.20 × 158,674.78
  4. Step 4: Simplify right side
    657,310.78x = 156,447,969,872.44
  5. Step 5: Solve for x
    x = 156,447,969,872.44/657,310.78
  6. Step 6: Final answer
    x = 238,012.18

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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.