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Finding the Fourth Proportional to 408,755.76, 564,722.88 and 312,297.27

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Solution

The fourth proportional to 408,755.76, 564,722.88 and 312,297.27 is: 431,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,755.76 : 564,722.88 = 312,297.27 : x
  2. Step 2: Convert to fraction form
    408,755.76/564,722.88 = 312,297.27/x
  3. Step 3: Cross multiply
    408,755.76x = 564,722.88 × 312,297.27
  4. Step 4: Simplify right side
    408,755.76x = 176,361,409,345.44
  5. Step 5: Solve for x
    x = 176,361,409,345.44/408,755.76
  6. Step 6: Final answer
    x = 431,459.15

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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.