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Finding the Fourth Proportional to 381,546.72, 571,937.76 and 191,427.84

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Solution

The fourth proportional to 381,546.72, 571,937.76 and 191,427.84 is: 286,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,546.72 : 571,937.76 = 191,427.84 : x
  2. Step 2: Convert to fraction form
    381,546.72/571,937.76 = 191,427.84/x
  3. Step 3: Cross multiply
    381,546.72x = 571,937.76 × 191,427.84
  4. Step 4: Simplify right side
    381,546.72x = 109,484,810,011.24
  5. Step 5: Solve for x
    x = 109,484,810,011.24/381,546.72
  6. Step 6: Final answer
    x = 286,949.94

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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.