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Finding the Fourth Proportional to 442,091.39, 663,266.46 and 142,565.96

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Solution

The fourth proportional to 442,091.39, 663,266.46 and 142,565.96 is: 213,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,091.39 : 663,266.46 = 142,565.96 : x
  2. Step 2: Convert to fraction form
    442,091.39/663,266.46 = 142,565.96/x
  3. Step 3: Cross multiply
    442,091.39x = 663,266.46 × 142,565.96
  4. Step 4: Simplify right side
    442,091.39x = 94,559,219,605.70
  5. Step 5: Solve for x
    x = 94,559,219,605.70/442,091.39
  6. Step 6: Final answer
    x = 213,890.66

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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.