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Finding the Fourth Proportional to 667,326.20, 921,001.78 and 409,157.48

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Solution

The fourth proportional to 667,326.20, 921,001.78 and 409,157.48 is: 564,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,326.20 : 921,001.78 = 409,157.48 : x
  2. Step 2: Convert to fraction form
    667,326.20/921,001.78 = 409,157.48/x
  3. Step 3: Cross multiply
    667,326.20x = 921,001.78 × 409,157.48
  4. Step 4: Simplify right side
    667,326.20x = 376,834,767,380.31
  5. Step 5: Solve for x
    x = 376,834,767,380.31/667,326.20
  6. Step 6: Final answer
    x = 564,693.50

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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.