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Finding the Fourth Proportional to 498,661.96, 748,288.86 and 199,283.80

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Solution

The fourth proportional to 498,661.96, 748,288.86 and 199,283.80 is: 299,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,661.96 : 748,288.86 = 199,283.80 : x
  2. Step 2: Convert to fraction form
    498,661.96/748,288.86 = 199,283.80/x
  3. Step 3: Cross multiply
    498,661.96x = 748,288.86 × 199,283.80
  4. Step 4: Simplify right side
    498,661.96x = 149,121,847,518.47
  5. Step 5: Solve for x
    x = 149,121,847,518.47/498,661.96
  6. Step 6: Final answer
    x = 299,043.96

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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.