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Finding the Fourth Proportional to 485,833.86, 728,668.17 and 130,768.74

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Solution

The fourth proportional to 485,833.86, 728,668.17 and 130,768.74 is: 196,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,833.86 : 728,668.17 = 130,768.74 : x
  2. Step 2: Convert to fraction form
    485,833.86/728,668.17 = 130,768.74/x
  3. Step 3: Cross multiply
    485,833.86x = 728,668.17 × 130,768.74
  4. Step 4: Simplify right side
    485,833.86x = 95,287,018,469.01
  5. Step 5: Solve for x
    x = 95,287,018,469.01/485,833.86
  6. Step 6: Final answer
    x = 196,130.87

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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.