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Finding the Fourth Proportional to 427,570.80, 641,392.92 and 112,027.74

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Solution

The fourth proportional to 427,570.80, 641,392.92 and 112,027.74 is: 168,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,570.80 : 641,392.92 = 112,027.74 : x
  2. Step 2: Convert to fraction form
    427,570.80/641,392.92 = 112,027.74/x
  3. Step 3: Cross multiply
    427,570.80x = 641,392.92 × 112,027.74
  4. Step 4: Simplify right side
    427,570.80x = 71,853,799,279.60
  5. Step 5: Solve for x
    x = 71,853,799,279.60/427,570.80
  6. Step 6: Final answer
    x = 168,051.23

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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.