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Finding the Fourth Proportional to 657,044.38, 985,673.19 and 257,468.54

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Solution

The fourth proportional to 657,044.38, 985,673.19 and 257,468.54 is: 386,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,044.38 : 985,673.19 = 257,468.54 : x
  2. Step 2: Convert to fraction form
    657,044.38/985,673.19 = 257,468.54/x
  3. Step 3: Cross multiply
    657,044.38x = 985,673.19 × 257,468.54
  4. Step 4: Simplify right side
    657,044.38x = 253,779,837,146.44
  5. Step 5: Solve for x
    x = 253,779,837,146.44/657,044.38
  6. Step 6: Final answer
    x = 386,244.59

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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.