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Finding the Fourth Proportional to 408,806.64, 564,793.04 and 312,348.09

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Solution

The fourth proportional to 408,806.64, 564,793.04 and 312,348.09 is: 431,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,806.64 : 564,793.04 = 312,348.09 : x
  2. Step 2: Convert to fraction form
    408,806.64/564,793.04 = 312,348.09/x
  3. Step 3: Cross multiply
    408,806.64x = 564,793.04 × 312,348.09
  4. Step 4: Simplify right side
    408,806.64x = 176,412,030,188.14
  5. Step 5: Solve for x
    x = 176,412,030,188.14/408,806.64
  6. Step 6: Final answer
    x = 431,529.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.