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Finding the Fourth Proportional to 399,847.40, 599,802.10 and 133,608.86

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Solution

The fourth proportional to 399,847.40, 599,802.10 and 133,608.86 is: 200,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,847.40 : 599,802.10 = 133,608.86 : x
  2. Step 2: Convert to fraction form
    399,847.40/599,802.10 = 133,608.86/x
  3. Step 3: Cross multiply
    399,847.40x = 599,802.10 × 133,608.86
  4. Step 4: Simplify right side
    399,847.40x = 80,138,874,806.61
  5. Step 5: Solve for x
    x = 80,138,874,806.61/399,847.40
  6. Step 6: Final answer
    x = 200,423.65

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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.