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Finding the Fourth Proportional to 413,912.46, 570,747.15 and 279,543.18

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Solution

The fourth proportional to 413,912.46, 570,747.15 and 279,543.18 is: 385,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,912.46 : 570,747.15 = 279,543.18 : x
  2. Step 2: Convert to fraction form
    413,912.46/570,747.15 = 279,543.18/x
  3. Step 3: Cross multiply
    413,912.46x = 570,747.15 × 279,543.18
  4. Step 4: Simplify right side
    413,912.46x = 159,548,473,286.94
  5. Step 5: Solve for x
    x = 159,548,473,286.94/413,912.46
  6. Step 6: Final answer
    x = 385,464.29

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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.