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Finding the Fourth Proportional to 499,175.40, 748,872.45 and 199,580.70

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Solution

The fourth proportional to 499,175.40, 748,872.45 and 199,580.70 is: 299,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,175.40 : 748,872.45 = 199,580.70 : x
  2. Step 2: Convert to fraction form
    499,175.40/748,872.45 = 199,580.70/x
  3. Step 3: Cross multiply
    499,175.40x = 748,872.45 × 199,580.70
  4. Step 4: Simplify right side
    499,175.40x = 149,460,487,781.72
  5. Step 5: Solve for x
    x = 149,460,487,781.72/499,175.40
  6. Step 6: Final answer
    x = 299,414.77

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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.