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Finding the Fourth Proportional to 381,352.88, 526,265.55 and 209,273.78

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Solution

The fourth proportional to 381,352.88, 526,265.55 and 209,273.78 is: 288,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,352.88 : 526,265.55 = 209,273.78 : x
  2. Step 2: Convert to fraction form
    381,352.88/526,265.55 = 209,273.78/x
  3. Step 3: Cross multiply
    381,352.88x = 526,265.55 × 209,273.78
  4. Step 4: Simplify right side
    381,352.88x = 110,133,578,300.95
  5. Step 5: Solve for x
    x = 110,133,578,300.95/381,352.88
  6. Step 6: Final answer
    x = 288,797.03

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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.