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Finding the Fourth Proportional to 442,147.41, 663,156.52 and 217,447.54

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Solution

The fourth proportional to 442,147.41, 663,156.52 and 217,447.54 is: 326,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,147.41 : 663,156.52 = 217,447.54 : x
  2. Step 2: Convert to fraction form
    442,147.41/663,156.52 = 217,447.54/x
  3. Step 3: Cross multiply
    442,147.41x = 663,156.52 × 217,447.54
  4. Step 4: Simplify right side
    442,147.41x = 144,201,751,707.45
  5. Step 5: Solve for x
    x = 144,201,751,707.45/442,147.41
  6. Step 6: Final answer
    x = 326,139.54

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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.