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Finding the Fourth Proportional to 442,084.14, 663,255.57 and 142,558.68

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Solution

The fourth proportional to 442,084.14, 663,255.57 and 142,558.68 is: 213,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,084.14 : 663,255.57 = 142,558.68 : x
  2. Step 2: Convert to fraction form
    442,084.14/663,255.57 = 142,558.68/x
  3. Step 3: Cross multiply
    442,084.14x = 663,255.57 × 142,558.68
  4. Step 4: Simplify right side
    442,084.14x = 94,552,838,561.85
  5. Step 5: Solve for x
    x = 94,552,838,561.85/442,084.14
  6. Step 6: Final answer
    x = 213,879.73

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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.