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Finding the Fourth Proportional to 485,102.40, 727,999.20 and 204,820.80

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Solution

The fourth proportional to 485,102.40, 727,999.20 and 204,820.80 is: 307,377.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,102.40 : 727,999.20 = 204,820.80 : x
  2. Step 2: Convert to fraction form
    485,102.40/727,999.20 = 204,820.80/x
  3. Step 3: Cross multiply
    485,102.40x = 727,999.20 × 204,820.80
  4. Step 4: Simplify right side
    485,102.40x = 149,109,378,543.36
  5. Step 5: Solve for x
    x = 149,109,378,543.36/485,102.40
  6. Step 6: Final answer
    x = 307,377.12

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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.