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Finding the Fourth Proportional to 783,282, 1,080,930.24 and 443,773.20

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Solution

The fourth proportional to 783,282, 1,080,930.24 and 443,773.20 is: 612,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,282 : 1,080,930.24 = 443,773.20 : x
  2. Step 2: Convert to fraction form
    783,282/1,080,930.24 = 443,773.20/x
  3. Step 3: Cross multiply
    783,282x = 1,080,930.24 × 443,773.20
  4. Step 4: Simplify right side
    783,282x = 479,687,871,581.57
  5. Step 5: Solve for x
    x = 479,687,871,581.57/783,282
  6. Step 6: Final answer
    x = 612,407.63

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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.