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Finding the Fourth Proportional to 442,718.83, 664,205.82 and 218,146.78

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Solution

The fourth proportional to 442,718.83, 664,205.82 and 218,146.78 is: 327,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,718.83 : 664,205.82 = 218,146.78 : x
  2. Step 2: Convert to fraction form
    442,718.83/664,205.82 = 218,146.78/x
  3. Step 3: Cross multiply
    442,718.83x = 664,205.82 × 218,146.78
  4. Step 4: Simplify right side
    442,718.83x = 144,894,360,890.26
  5. Step 5: Solve for x
    x = 144,894,360,890.26/442,718.83
  6. Step 6: Final answer
    x = 327,283.03

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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.