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Finding the Fourth Proportional to 399,615.77, 599,409.83 and 100,098.93

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Solution

The fourth proportional to 399,615.77, 599,409.83 and 100,098.93 is: 150,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,615.77 : 599,409.83 = 100,098.93 : x
  2. Step 2: Convert to fraction form
    399,615.77/599,409.83 = 100,098.93/x
  3. Step 3: Cross multiply
    399,615.77x = 599,409.83 × 100,098.93
  4. Step 4: Simplify right side
    399,615.77x = 60,000,282,864.73
  5. Step 5: Solve for x
    x = 60,000,282,864.73/399,615.77
  6. Step 6: Final answer
    x = 150,144.93

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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.