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Finding the Fourth Proportional to 381,886.98, 527,020.70 and 212,121.10

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Solution

The fourth proportional to 381,886.98, 527,020.70 and 212,121.10 is: 292,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,886.98 : 527,020.70 = 212,121.10 : x
  2. Step 2: Convert to fraction form
    381,886.98/527,020.70 = 212,121.10/x
  3. Step 3: Cross multiply
    381,886.98x = 527,020.70 × 212,121.10
  4. Step 4: Simplify right side
    381,886.98x = 111,792,210,606.77
  5. Step 5: Solve for x
    x = 111,792,210,606.77/381,886.98
  6. Step 6: Final answer
    x = 292,736.38

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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.