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Finding the Fourth Proportional to 485,652.46, 727,104.97 and 257,428.06

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Solution

The fourth proportional to 485,652.46, 727,104.97 and 257,428.06 is: 385,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,652.46 : 727,104.97 = 257,428.06 : x
  2. Step 2: Convert to fraction form
    485,652.46/727,104.97 = 257,428.06/x
  3. Step 3: Cross multiply
    485,652.46x = 727,104.97 × 257,428.06
  4. Step 4: Simplify right side
    485,652.46x = 187,177,221,843.46
  5. Step 5: Solve for x
    x = 187,177,221,843.46/485,652.46
  6. Step 6: Final answer
    x = 385,413.93

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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.