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Finding the Fourth Proportional to 381,350.16, 526,269.42 and 220,219.32

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Solution

The fourth proportional to 381,350.16, 526,269.42 and 220,219.32 is: 303,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,350.16 : 526,269.42 = 220,219.32 : x
  2. Step 2: Convert to fraction form
    381,350.16/526,269.42 = 220,219.32/x
  3. Step 3: Cross multiply
    381,350.16x = 526,269.42 × 220,219.32
  4. Step 4: Simplify right side
    381,350.16x = 115,894,693,809.19
  5. Step 5: Solve for x
    x = 115,894,693,809.19/381,350.16
  6. Step 6: Final answer
    x = 303,906.24

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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.