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Finding the Fourth Proportional to 657,091.80, 985,443.30 and 257,502.60

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Solution

The fourth proportional to 657,091.80, 985,443.30 and 257,502.60 is: 386,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,091.80 : 985,443.30 = 257,502.60 : x
  2. Step 2: Convert to fraction form
    657,091.80/985,443.30 = 257,502.60/x
  3. Step 3: Cross multiply
    657,091.80x = 985,443.30 × 257,502.60
  4. Step 4: Simplify right side
    657,091.80x = 253,754,211,902.58
  5. Step 5: Solve for x
    x = 253,754,211,902.58/657,091.80
  6. Step 6: Final answer
    x = 386,177.72

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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.