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Finding the Fourth Proportional to 442,077.12, 663,245.08 and 142,551.68

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Solution

The fourth proportional to 442,077.12, 663,245.08 and 142,551.68 is: 213,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,077.12 : 663,245.08 = 142,551.68 : x
  2. Step 2: Convert to fraction form
    442,077.12/663,245.08 = 142,551.68/x
  3. Step 3: Cross multiply
    442,077.12x = 663,245.08 × 142,551.68
  4. Step 4: Simplify right side
    442,077.12x = 94,546,696,376.75
  5. Step 5: Solve for x
    x = 94,546,696,376.75/442,077.12
  6. Step 6: Final answer
    x = 213,869.24

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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.