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Finding the Fourth Proportional to 499,147.61, 748,762.92 and 162,180.81

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Solution

The fourth proportional to 499,147.61, 748,762.92 and 162,180.81 is: 243,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,147.61 : 748,762.92 = 162,180.81 : x
  2. Step 2: Convert to fraction form
    499,147.61/748,762.92 = 162,180.81/x
  3. Step 3: Cross multiply
    499,147.61x = 748,762.92 × 162,180.81
  4. Step 4: Simplify right side
    499,147.61x = 121,434,976,863.57
  5. Step 5: Solve for x
    x = 121,434,976,863.57/499,147.61
  6. Step 6: Final answer
    x = 243,284.70

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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.