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Finding the Fourth Proportional to 399,615.65, 599,409.65 and 100,098.81

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Solution

The fourth proportional to 399,615.65, 599,409.65 and 100,098.81 is: 150,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,615.65 : 599,409.65 = 100,098.81 : x
  2. Step 2: Convert to fraction form
    399,615.65/599,409.65 = 100,098.81/x
  3. Step 3: Cross multiply
    399,615.65x = 599,409.65 × 100,098.81
  4. Step 4: Simplify right side
    399,615.65x = 60,000,189,169.97
  5. Step 5: Solve for x
    x = 60,000,189,169.97/399,615.65
  6. Step 6: Final answer
    x = 150,144.75

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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.