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Finding the Fourth Proportional to 381,002.90, 571,535.52 and 191,365.76

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Solution

The fourth proportional to 381,002.90, 571,535.52 and 191,365.76 is: 287,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,002.90 : 571,535.52 = 191,365.76 : x
  2. Step 2: Convert to fraction form
    381,002.90/571,535.52 = 191,365.76/x
  3. Step 3: Cross multiply
    381,002.90x = 571,535.52 × 191,365.76
  4. Step 4: Simplify right side
    381,002.90x = 109,372,329,151.80
  5. Step 5: Solve for x
    x = 109,372,329,151.80/381,002.90
  6. Step 6: Final answer
    x = 287,064.30

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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.