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Finding the Fourth Proportional to 721,876.10, 996,197.82 and 399,615.98

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Solution

The fourth proportional to 721,876.10, 996,197.82 and 399,615.98 is: 551,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,876.10 : 996,197.82 = 399,615.98 : x
  2. Step 2: Convert to fraction form
    721,876.10/996,197.82 = 399,615.98/x
  3. Step 3: Cross multiply
    721,876.10x = 996,197.82 × 399,615.98
  4. Step 4: Simplify right side
    721,876.10x = 398,096,568,113.16
  5. Step 5: Solve for x
    x = 398,096,568,113.16/721,876.10
  6. Step 6: Final answer
    x = 551,474.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.