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Finding the Fourth Proportional to 405,138.80, 607,708.20 and 254,891.90

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Solution

The fourth proportional to 405,138.80, 607,708.20 and 254,891.90 is: 382,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,138.80 : 607,708.20 = 254,891.90 : x
  2. Step 2: Convert to fraction form
    405,138.80/607,708.20 = 254,891.90/x
  3. Step 3: Cross multiply
    405,138.80x = 607,708.20 × 254,891.90
  4. Step 4: Simplify right side
    405,138.80x = 154,899,897,743.58
  5. Step 5: Solve for x
    x = 154,899,897,743.58/405,138.80
  6. Step 6: Final answer
    x = 382,337.85

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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.