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Finding the Fourth Proportional to 485,213.80, 727,820.70 and 433,892.20

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Solution

The fourth proportional to 485,213.80, 727,820.70 and 433,892.20 is: 650,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,213.80 : 727,820.70 = 433,892.20 : x
  2. Step 2: Convert to fraction form
    485,213.80/727,820.70 = 433,892.20/x
  3. Step 3: Cross multiply
    485,213.80x = 727,820.70 × 433,892.20
  4. Step 4: Simplify right side
    485,213.80x = 315,795,724,728.54
  5. Step 5: Solve for x
    x = 315,795,724,728.54/485,213.80
  6. Step 6: Final answer
    x = 650,838.30

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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.