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Finding the Fourth Proportional to 408,755.25, 564,722.19 and 312,296.77

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Solution

The fourth proportional to 408,755.25, 564,722.19 and 312,296.77 is: 431,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,755.25 : 564,722.19 = 312,296.77 : x
  2. Step 2: Convert to fraction form
    408,755.25/564,722.19 = 312,296.77/x
  3. Step 3: Cross multiply
    408,755.25x = 564,722.19 × 312,296.77
  4. Step 4: Simplify right side
    408,755.25x = 176,360,911,876.57
  5. Step 5: Solve for x
    x = 176,360,911,876.57/408,755.25
  6. Step 6: Final answer
    x = 431,458.46

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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.