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Finding the Fourth Proportional to 381,887.34, 527,012.88 and 209,807.52

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Solution

The fourth proportional to 381,887.34, 527,012.88 and 209,807.52 is: 289,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,887.34 : 527,012.88 = 209,807.52 : x
  2. Step 2: Convert to fraction form
    381,887.34/527,012.88 = 209,807.52/x
  3. Step 3: Cross multiply
    381,887.34x = 527,012.88 × 209,807.52
  4. Step 4: Simplify right side
    381,887.34x = 110,571,265,360.86
  5. Step 5: Solve for x
    x = 110,571,265,360.86/381,887.34
  6. Step 6: Final answer
    x = 289,538.97

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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.