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Finding the Fourth Proportional to 892,400.76, 1,229,682.06 and 829,397.88

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Solution

The fourth proportional to 892,400.76, 1,229,682.06 and 829,397.88 is: 1,142,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,400.76 : 1,229,682.06 = 829,397.88 : x
  2. Step 2: Convert to fraction form
    892,400.76/1,229,682.06 = 829,397.88/x
  3. Step 3: Cross multiply
    892,400.76x = 1,229,682.06 × 829,397.88
  4. Step 4: Simplify right side
    892,400.76x = 1,019,895,693,638.03
  5. Step 5: Solve for x
    x = 1,019,895,693,638.03/892,400.76
  6. Step 6: Final answer
    x = 1,142,867.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.