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Finding the Fourth Proportional to 381,931.78, 527,130.82 and 220,884.74

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Solution

The fourth proportional to 381,931.78, 527,130.82 and 220,884.74 is: 304,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,931.78 : 527,130.82 = 220,884.74 : x
  2. Step 2: Convert to fraction form
    381,931.78/527,130.82 = 220,884.74/x
  3. Step 3: Cross multiply
    381,931.78x = 527,130.82 × 220,884.74
  4. Step 4: Simplify right side
    381,931.78x = 116,435,154,121.69
  5. Step 5: Solve for x
    x = 116,435,154,121.69/381,931.78
  6. Step 6: Final answer
    x = 304,858.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.