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Finding the Fourth Proportional to 386,817.30, 580,880.25 and 252,110.16

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Solution

The fourth proportional to 386,817.30, 580,880.25 and 252,110.16 is: 378,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,817.30 : 580,880.25 = 252,110.16 : x
  2. Step 2: Convert to fraction form
    386,817.30/580,880.25 = 252,110.16/x
  3. Step 3: Cross multiply
    386,817.30x = 580,880.25 × 252,110.16
  4. Step 4: Simplify right side
    386,817.30x = 146,445,812,768.34
  5. Step 5: Solve for x
    x = 146,445,812,768.34/386,817.30
  6. Step 6: Final answer
    x = 378,591.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.