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Finding the Fourth Proportional to 657,045.78, 985,576.57 and 257,874.54

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Solution

The fourth proportional to 657,045.78, 985,576.57 and 257,874.54 is: 386,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,045.78 : 985,576.57 = 257,874.54 : x
  2. Step 2: Convert to fraction form
    657,045.78/985,576.57 = 257,874.54/x
  3. Step 3: Cross multiply
    657,045.78x = 985,576.57 × 257,874.54
  4. Step 4: Simplify right side
    657,045.78x = 254,155,103,978.84
  5. Step 5: Solve for x
    x = 254,155,103,978.84/657,045.78
  6. Step 6: Final answer
    x = 386,814.91

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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.