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Finding the Fourth Proportional to 442,201.70, 663,302.55 and 282,769.40

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Solution

The fourth proportional to 442,201.70, 663,302.55 and 282,769.40 is: 424,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,201.70 : 663,302.55 = 282,769.40 : x
  2. Step 2: Convert to fraction form
    442,201.70/663,302.55 = 282,769.40/x
  3. Step 3: Cross multiply
    442,201.70x = 663,302.55 × 282,769.40
  4. Step 4: Simplify right side
    442,201.70x = 187,561,664,081.97
  5. Step 5: Solve for x
    x = 187,561,664,081.97/442,201.70
  6. Step 6: Final answer
    x = 424,154.10

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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.