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Finding the Fourth Proportional to 381,931.50, 573,023.61 and 204,398.94

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Solution

The fourth proportional to 381,931.50, 573,023.61 and 204,398.94 is: 306,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,931.50 : 573,023.61 = 204,398.94 : x
  2. Step 2: Convert to fraction form
    381,931.50/573,023.61 = 204,398.94/x
  3. Step 3: Cross multiply
    381,931.50x = 573,023.61 × 204,398.94
  4. Step 4: Simplify right side
    381,931.50x = 117,125,418,478.97
  5. Step 5: Solve for x
    x = 117,125,418,478.97/381,931.50
  6. Step 6: Final answer
    x = 306,666.03

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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.