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Finding the Fourth Proportional to 408,024.84, 611,661.95 and 218,615.52

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Solution

The fourth proportional to 408,024.84, 611,661.95 and 218,615.52 is: 327,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,024.84 : 611,661.95 = 218,615.52 : x
  2. Step 2: Convert to fraction form
    408,024.84/611,661.95 = 218,615.52/x
  3. Step 3: Cross multiply
    408,024.84x = 611,661.95 × 218,615.52
  4. Step 4: Simplify right side
    408,024.84x = 133,718,795,263.46
  5. Step 5: Solve for x
    x = 133,718,795,263.46/408,024.84
  6. Step 6: Final answer
    x = 327,722.19

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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.