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Finding the Fourth Proportional to 408,020.84, 612,117.66 and 127,559.24

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Solution

The fourth proportional to 408,020.84, 612,117.66 and 127,559.24 is: 191,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,020.84 : 612,117.66 = 127,559.24 : x
  2. Step 2: Convert to fraction form
    408,020.84/612,117.66 = 127,559.24/x
  3. Step 3: Cross multiply
    408,020.84x = 612,117.66 × 127,559.24
  4. Step 4: Simplify right side
    408,020.84x = 78,081,263,500.18
  5. Step 5: Solve for x
    x = 78,081,263,500.18/408,020.84
  6. Step 6: Final answer
    x = 191,365.87

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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.