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Finding the Fourth Proportional to 381,902.02, 527,033.58 and 209,830.72

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Solution

The fourth proportional to 381,902.02, 527,033.58 and 209,830.72 is: 289,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,902.02 : 527,033.58 = 209,830.72 : x
  2. Step 2: Convert to fraction form
    381,902.02/527,033.58 = 209,830.72/x
  3. Step 3: Cross multiply
    381,902.02x = 527,033.58 × 209,830.72
  4. Step 4: Simplify right side
    381,902.02x = 110,587,834,237.99
  5. Step 5: Solve for x
    x = 110,587,834,237.99/381,902.02
  6. Step 6: Final answer
    x = 289,571.22

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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.