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Finding the Fourth Proportional to 381,649.27, 575,217.16 and 328,977

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Solution

The fourth proportional to 381,649.27, 575,217.16 and 328,977 is: 495,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,649.27 : 575,217.16 = 328,977 : x
  2. Step 2: Convert to fraction form
    381,649.27/575,217.16 = 328,977/x
  3. Step 3: Cross multiply
    381,649.27x = 575,217.16 × 328,977
  4. Step 4: Simplify right side
    381,649.27x = 189,233,215,645.32
  5. Step 5: Solve for x
    x = 189,233,215,645.32/381,649.27
  6. Step 6: Final answer
    x = 495,830.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.