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Finding the Fourth Proportional to 485,651.72, 727,103.84 and 257,427.33

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Solution

The fourth proportional to 485,651.72, 727,103.84 and 257,427.33 is: 385,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,651.72 : 727,103.84 = 257,427.33 : x
  2. Step 2: Convert to fraction form
    485,651.72/727,103.84 = 257,427.33/x
  3. Step 3: Cross multiply
    485,651.72x = 727,103.84 × 257,427.33
  4. Step 4: Simplify right side
    485,651.72x = 187,176,398,876.81
  5. Step 5: Solve for x
    x = 187,176,398,876.81/485,651.72
  6. Step 6: Final answer
    x = 385,412.82

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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.