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Finding the Fourth Proportional to 657,324.92, 985,392.25 and 257,858.43

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Solution

The fourth proportional to 657,324.92, 985,392.25 and 257,858.43 is: 386,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,324.92 : 985,392.25 = 257,858.43 : x
  2. Step 2: Convert to fraction form
    657,324.92/985,392.25 = 257,858.43/x
  3. Step 3: Cross multiply
    657,324.92x = 985,392.25 × 257,858.43
  4. Step 4: Simplify right side
    657,324.92x = 254,091,697,874.52
  5. Step 5: Solve for x
    x = 254,091,697,874.52/657,324.92
  6. Step 6: Final answer
    x = 386,554.19

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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.