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Finding the Fourth Proportional to 1,721,407.20, 2,581,765.20 and 822,847.20

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Solution

The fourth proportional to 1,721,407.20, 2,581,765.20 and 822,847.20 is: 1,234,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,407.20 : 2,581,765.20 = 822,847.20 : x
  2. Step 2: Convert to fraction form
    1,721,407.20/2,581,765.20 = 822,847.20/x
  3. Step 3: Cross multiply
    1,721,407.20x = 2,581,765.20 × 822,847.20
  4. Step 4: Simplify right side
    1,721,407.20x = 2,124,398,265,877.44
  5. Step 5: Solve for x
    x = 2,124,398,265,877.44/1,721,407.20
  6. Step 6: Final answer
    x = 1,234,105.60

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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.