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Finding the Fourth Proportional to 442,072.35, 663,237.90 and 142,546.86

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Solution

The fourth proportional to 442,072.35, 663,237.90 and 142,546.86 is: 213,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,072.35 : 663,237.90 = 142,546.86 : x
  2. Step 2: Convert to fraction form
    442,072.35/663,237.90 = 142,546.86/x
  3. Step 3: Cross multiply
    442,072.35x = 663,237.90 × 142,546.86
  4. Step 4: Simplify right side
    442,072.35x = 94,542,480,077.99
  5. Step 5: Solve for x
    x = 94,542,480,077.99/442,072.35
  6. Step 6: Final answer
    x = 213,862.01

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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.