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Finding the Fourth Proportional to 657,062.78, 985,170.42 and 257,743.91

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Solution

The fourth proportional to 657,062.78, 985,170.42 and 257,743.91 is: 386,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,062.78 : 985,170.42 = 257,743.91 : x
  2. Step 2: Convert to fraction form
    657,062.78/985,170.42 = 257,743.91/x
  3. Step 3: Cross multiply
    657,062.78x = 985,170.42 × 257,743.91
  4. Step 4: Simplify right side
    657,062.78x = 253,921,678,530.07
  5. Step 5: Solve for x
    x = 253,921,678,530.07/657,062.78
  6. Step 6: Final answer
    x = 386,449.65

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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.