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Finding the Fourth Proportional to 485,647.95, 727,098.22 and 257,423.57

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Solution

The fourth proportional to 485,647.95, 727,098.22 and 257,423.57 is: 385,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,647.95 : 727,098.22 = 257,423.57 : x
  2. Step 2: Convert to fraction form
    485,647.95/727,098.22 = 257,423.57/x
  3. Step 3: Cross multiply
    485,647.95x = 727,098.22 × 257,423.57
  4. Step 4: Simplify right side
    485,647.95x = 187,172,218,945.95
  5. Step 5: Solve for x
    x = 187,172,218,945.95/485,647.95
  6. Step 6: Final answer
    x = 385,407.20

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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.