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Finding the Fourth Proportional to 456,711.90, 685,003.05 and 141,200.70

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Solution

The fourth proportional to 456,711.90, 685,003.05 and 141,200.70 is: 211,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,711.90 : 685,003.05 = 141,200.70 : x
  2. Step 2: Convert to fraction form
    456,711.90/685,003.05 = 141,200.70/x
  3. Step 3: Cross multiply
    456,711.90x = 685,003.05 × 141,200.70
  4. Step 4: Simplify right side
    456,711.90x = 96,722,910,162.14
  5. Step 5: Solve for x
    x = 96,722,910,162.14/456,711.90
  6. Step 6: Final answer
    x = 211,781.02

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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.