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Finding the Fourth Proportional to 442,077.36, 663,245.40 and 142,551.86

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Solution

The fourth proportional to 442,077.36, 663,245.40 and 142,551.86 is: 213,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,077.36 : 663,245.40 = 142,551.86 : x
  2. Step 2: Convert to fraction form
    442,077.36/663,245.40 = 142,551.86/x
  3. Step 3: Cross multiply
    442,077.36x = 663,245.40 × 142,551.86
  4. Step 4: Simplify right side
    442,077.36x = 94,546,865,406.44
  5. Step 5: Solve for x
    x = 94,546,865,406.44/442,077.36
  6. Step 6: Final answer
    x = 213,869.50

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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.