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Finding the Fourth Proportional to 381,356.85, 526,278.54 and 220,225.98

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Solution

The fourth proportional to 381,356.85, 526,278.54 and 220,225.98 is: 303,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,356.85 : 526,278.54 = 220,225.98 : x
  2. Step 2: Convert to fraction form
    381,356.85/526,278.54 = 220,225.98/x
  3. Step 3: Cross multiply
    381,356.85x = 526,278.54 × 220,225.98
  4. Step 4: Simplify right side
    381,356.85x = 115,900,207,224.47
  5. Step 5: Solve for x
    x = 115,900,207,224.47/381,356.85
  6. Step 6: Final answer
    x = 303,915.37

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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.