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Finding the Fourth Proportional to 819,348, 1,229,022.72 and 228,372

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Solution

The fourth proportional to 819,348, 1,229,022.72 and 228,372 is: 342,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,348 : 1,229,022.72 = 228,372 : x
  2. Step 2: Convert to fraction form
    819,348/1,229,022.72 = 228,372/x
  3. Step 3: Cross multiply
    819,348x = 1,229,022.72 × 228,372
  4. Step 4: Simplify right side
    819,348x = 280,674,376,611.84
  5. Step 5: Solve for x
    x = 280,674,376,611.84/819,348
  6. Step 6: Final answer
    x = 342,558.20

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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.