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Finding the Fourth Proportional to 485,758.38, 728,686.16 and 148,795.14

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Solution

The fourth proportional to 485,758.38, 728,686.16 and 148,795.14 is: 223,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,758.38 : 728,686.16 = 148,795.14 : x
  2. Step 2: Convert to fraction form
    485,758.38/728,686.16 = 148,795.14/x
  3. Step 3: Cross multiply
    485,758.38x = 728,686.16 × 148,795.14
  4. Step 4: Simplify right side
    485,758.38x = 108,424,958,449.29
  5. Step 5: Solve for x
    x = 108,424,958,449.29/485,758.38
  6. Step 6: Final answer
    x = 223,207.59

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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.