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Finding the Fourth Proportional to 498,760.72, 748,246.31 and 161,775.21

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Solution

The fourth proportional to 498,760.72, 748,246.31 and 161,775.21 is: 242,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,760.72 : 748,246.31 = 161,775.21 : x
  2. Step 2: Convert to fraction form
    498,760.72/748,246.31 = 161,775.21/x
  3. Step 3: Cross multiply
    498,760.72x = 748,246.31 × 161,775.21
  4. Step 4: Simplify right side
    498,760.72x = 121,047,702,326.79
  5. Step 5: Solve for x
    x = 121,047,702,326.79/498,760.72
  6. Step 6: Final answer
    x = 242,696.94

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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.