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Finding the Fourth Proportional to 399,616.77, 599,411.33 and 100,099.93

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Solution

The fourth proportional to 399,616.77, 599,411.33 and 100,099.93 is: 150,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,616.77 : 599,411.33 = 100,099.93 : x
  2. Step 2: Convert to fraction form
    399,616.77/599,411.33 = 100,099.93/x
  3. Step 3: Cross multiply
    399,616.77x = 599,411.33 × 100,099.93
  4. Step 4: Simplify right side
    399,616.77x = 60,001,032,174.21
  5. Step 5: Solve for x
    x = 60,001,032,174.21/399,616.77
  6. Step 6: Final answer
    x = 150,146.43

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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.