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Finding the Fourth Proportional to 399,097.68, 598,755.87 and 199,176.72

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Solution

The fourth proportional to 399,097.68, 598,755.87 and 199,176.72 is: 298,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,097.68 : 598,755.87 = 199,176.72 : x
  2. Step 2: Convert to fraction form
    399,097.68/598,755.87 = 199,176.72/x
  3. Step 3: Cross multiply
    399,097.68x = 598,755.87 × 199,176.72
  4. Step 4: Simplify right side
    399,097.68x = 119,258,230,267.35
  5. Step 5: Solve for x
    x = 119,258,230,267.35/399,097.68
  6. Step 6: Final answer
    x = 298,819.65

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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.