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Finding the Fourth Proportional to 498,630.96, 748,369.20 and 199,322.88

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Solution

The fourth proportional to 498,630.96, 748,369.20 and 199,322.88 is: 299,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,630.96 : 748,369.20 = 199,322.88 : x
  2. Step 2: Convert to fraction form
    498,630.96/748,369.20 = 199,322.88/x
  3. Step 3: Cross multiply
    498,630.96x = 748,369.20 × 199,322.88
  4. Step 4: Simplify right side
    498,630.96x = 149,167,104,247.30
  5. Step 5: Solve for x
    x = 149,167,104,247.30/498,630.96
  6. Step 6: Final answer
    x = 299,153.31

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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.