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Finding the Fourth Proportional to 381,989.88, 527,160.72 and 209,915.10

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Solution

The fourth proportional to 381,989.88, 527,160.72 and 209,915.10 is: 289,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,989.88 : 527,160.72 = 209,915.10 : x
  2. Step 2: Convert to fraction form
    381,989.88/527,160.72 = 209,915.10/x
  3. Step 3: Cross multiply
    381,989.88x = 527,160.72 × 209,915.10
  4. Step 4: Simplify right side
    381,989.88x = 110,658,995,254.87
  5. Step 5: Solve for x
    x = 110,658,995,254.87/381,989.88
  6. Step 6: Final answer
    x = 289,690.91

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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.