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Finding the Fourth Proportional to 485,407.29, 728,144.66 and 148,422.03

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Solution

The fourth proportional to 485,407.29, 728,144.66 and 148,422.03 is: 222,643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,407.29 : 728,144.66 = 148,422.03 : x
  2. Step 2: Convert to fraction form
    485,407.29/728,144.66 = 148,422.03/x
  3. Step 3: Cross multiply
    485,407.29x = 728,144.66 × 148,422.03
  4. Step 4: Simplify right side
    485,407.29x = 108,072,708,570.86
  5. Step 5: Solve for x
    x = 108,072,708,570.86/485,407.29
  6. Step 6: Final answer
    x = 222,643.36

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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.