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Finding the Fourth Proportional to 498,732.80, 748,099.20 and 199,259.60

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Solution

The fourth proportional to 498,732.80, 748,099.20 and 199,259.60 is: 298,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,732.80 : 748,099.20 = 199,259.60 : x
  2. Step 2: Convert to fraction form
    498,732.80/748,099.20 = 199,259.60/x
  3. Step 3: Cross multiply
    498,732.80x = 748,099.20 × 199,259.60
  4. Step 4: Simplify right side
    498,732.80x = 149,065,947,352.32
  5. Step 5: Solve for x
    x = 149,065,947,352.32/498,732.80
  6. Step 6: Final answer
    x = 298,889.40

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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.