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Finding the Fourth Proportional to 449,372.64, 619,079.40 and 313,158.96

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Solution

The fourth proportional to 449,372.64, 619,079.40 and 313,158.96 is: 431,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,372.64 : 619,079.40 = 313,158.96 : x
  2. Step 2: Convert to fraction form
    449,372.64/619,079.40 = 313,158.96/x
  3. Step 3: Cross multiply
    449,372.64x = 619,079.40 × 313,158.96
  4. Step 4: Simplify right side
    449,372.64x = 193,870,261,061.42
  5. Step 5: Solve for x
    x = 193,870,261,061.42/449,372.64
  6. Step 6: Final answer
    x = 431,424.27

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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.