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Finding the Fourth Proportional to 449,376.64, 619,084.92 and 313,162.96

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Solution

The fourth proportional to 449,376.64, 619,084.92 and 313,162.96 is: 431,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,376.64 : 619,084.92 = 313,162.96 : x
  2. Step 2: Convert to fraction form
    449,376.64/619,084.92 = 313,162.96/x
  3. Step 3: Cross multiply
    449,376.64x = 619,084.92 × 313,162.96
  4. Step 4: Simplify right side
    449,376.64x = 193,874,466,038.56
  5. Step 5: Solve for x
    x = 193,874,466,038.56/449,376.64
  6. Step 6: Final answer
    x = 431,429.78

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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.