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Finding the Fourth Proportional to 485,503.78, 728,343.16 and 148,538.10

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Solution

The fourth proportional to 485,503.78, 728,343.16 and 148,538.10 is: 222,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,503.78 : 728,343.16 = 148,538.10 : x
  2. Step 2: Convert to fraction form
    485,503.78/728,343.16 = 148,538.10/x
  3. Step 3: Cross multiply
    485,503.78x = 728,343.16 × 148,538.10
  4. Step 4: Simplify right side
    485,503.78x = 108,186,709,134.40
  5. Step 5: Solve for x
    x = 108,186,709,134.40/485,503.78
  6. Step 6: Final answer
    x = 222,833.92

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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.