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Finding the Fourth Proportional to 821,489.72, 1,229,430.90 and 688,520.12

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Solution

The fourth proportional to 821,489.72, 1,229,430.90 and 688,520.12 is: 1,030,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,489.72 : 1,229,430.90 = 688,520.12 : x
  2. Step 2: Convert to fraction form
    821,489.72/1,229,430.90 = 688,520.12/x
  3. Step 3: Cross multiply
    821,489.72x = 1,229,430.90 × 688,520.12
  4. Step 4: Simplify right side
    821,489.72x = 846,487,910,799.71
  5. Step 5: Solve for x
    x = 846,487,910,799.71/821,489.72
  6. Step 6: Final answer
    x = 1,030,430.31

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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.