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Finding the Fourth Proportional to 485,421.93, 728,238.13 and 185,902.56

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Solution

The fourth proportional to 485,421.93, 728,238.13 and 185,902.56 is: 278,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,421.93 : 728,238.13 = 185,902.56 : x
  2. Step 2: Convert to fraction form
    485,421.93/728,238.13 = 185,902.56/x
  3. Step 3: Cross multiply
    485,421.93x = 728,238.13 × 185,902.56
  4. Step 4: Simplify right side
    485,421.93x = 135,381,332,191.86
  5. Step 5: Solve for x
    x = 135,381,332,191.86/485,421.93
  6. Step 6: Final answer
    x = 278,894.14

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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.