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Finding the Fourth Proportional to 399,616.71, 599,411.24 and 100,099.87

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Solution

The fourth proportional to 399,616.71, 599,411.24 and 100,099.87 is: 150,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,616.71 : 599,411.24 = 100,099.87 : x
  2. Step 2: Convert to fraction form
    399,616.71/599,411.24 = 100,099.87/x
  3. Step 3: Cross multiply
    399,616.71x = 599,411.24 × 100,099.87
  4. Step 4: Simplify right side
    399,616.71x = 60,000,985,576.89
  5. Step 5: Solve for x
    x = 60,000,985,576.89/399,616.71
  6. Step 6: Final answer
    x = 150,146.34

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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.