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Finding the Fourth Proportional to 407,819.70, 611,729.55 and 342,865.80

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Solution

The fourth proportional to 407,819.70, 611,729.55 and 342,865.80 is: 514,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,819.70 : 611,729.55 = 342,865.80 : x
  2. Step 2: Convert to fraction form
    407,819.70/611,729.55 = 342,865.80/x
  3. Step 3: Cross multiply
    407,819.70x = 611,729.55 × 342,865.80
  4. Step 4: Simplify right side
    407,819.70x = 209,741,141,544.39
  5. Step 5: Solve for x
    x = 209,741,141,544.39/407,819.70
  6. Step 6: Final answer
    x = 514,298.70

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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.