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Finding the Fourth Proportional to 485,102.72, 727,770.60 and 185,578.40

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Solution

The fourth proportional to 485,102.72, 727,770.60 and 185,578.40 is: 278,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,102.72 : 727,770.60 = 185,578.40 : x
  2. Step 2: Convert to fraction form
    485,102.72/727,770.60 = 185,578.40/x
  3. Step 3: Cross multiply
    485,102.72x = 727,770.60 × 185,578.40
  4. Step 4: Simplify right side
    485,102.72x = 135,058,503,515.04
  5. Step 5: Solve for x
    x = 135,058,503,515.04/485,102.72
  6. Step 6: Final answer
    x = 278,412.18

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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.