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Finding the Fourth Proportional to 498,686.54, 748,195.86 and 161,738.18

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Solution

The fourth proportional to 498,686.54, 748,195.86 and 161,738.18 is: 242,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,686.54 : 748,195.86 = 161,738.18 : x
  2. Step 2: Convert to fraction form
    498,686.54/748,195.86 = 161,738.18/x
  3. Step 3: Cross multiply
    498,686.54x = 748,195.86 × 161,738.18
  4. Step 4: Simplify right side
    498,686.54x = 121,011,836,679.94
  5. Step 5: Solve for x
    x = 121,011,836,679.94/498,686.54
  6. Step 6: Final answer
    x = 242,661.12

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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.