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Finding the Fourth Proportional to 408,106.50, 611,809.15 and 141,832.42

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Solution

The fourth proportional to 408,106.50, 611,809.15 and 141,832.42 is: 212,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,106.50 : 611,809.15 = 141,832.42 : x
  2. Step 2: Convert to fraction form
    408,106.50/611,809.15 = 141,832.42/x
  3. Step 3: Cross multiply
    408,106.50x = 611,809.15 × 141,832.42
  4. Step 4: Simplify right side
    408,106.50x = 86,774,370,704.47
  5. Step 5: Solve for x
    x = 86,774,370,704.47/408,106.50
  6. Step 6: Final answer
    x = 212,626.78

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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.