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Finding the Fourth Proportional to 485,798.06, 728,718.96 and 148,814.12

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Solution

The fourth proportional to 485,798.06, 728,718.96 and 148,814.12 is: 223,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,798.06 : 728,718.96 = 148,814.12 : x
  2. Step 2: Convert to fraction form
    485,798.06/728,718.96 = 148,814.12/x
  3. Step 3: Cross multiply
    485,798.06x = 728,718.96 × 148,814.12
  4. Step 4: Simplify right side
    485,798.06x = 108,443,670,759.72
  5. Step 5: Solve for x
    x = 108,443,670,759.72/485,798.06
  6. Step 6: Final answer
    x = 223,227.88

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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.