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Finding the Fourth Proportional to 485,651.46, 727,103.47 and 257,427.06

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Solution

The fourth proportional to 485,651.46, 727,103.47 and 257,427.06 is: 385,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,651.46 : 727,103.47 = 257,427.06 : x
  2. Step 2: Convert to fraction form
    485,651.46/727,103.47 = 257,427.06/x
  3. Step 3: Cross multiply
    485,651.46x = 727,103.47 × 257,427.06
  4. Step 4: Simplify right side
    485,651.46x = 187,176,108,597.90
  5. Step 5: Solve for x
    x = 187,176,108,597.90/485,651.46
  6. Step 6: Final answer
    x = 385,412.43

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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.