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Finding the Fourth Proportional to 667,715.45, 921,448.25 and 361,795.16

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Solution

The fourth proportional to 667,715.45, 921,448.25 and 361,795.16 is: 499,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,715.45 : 921,448.25 = 361,795.16 : x
  2. Step 2: Convert to fraction form
    667,715.45/921,448.25 = 361,795.16/x
  3. Step 3: Cross multiply
    667,715.45x = 921,448.25 × 361,795.16
  4. Step 4: Simplify right side
    667,715.45x = 333,375,517,040.47
  5. Step 5: Solve for x
    x = 333,375,517,040.47/667,715.45
  6. Step 6: Final answer
    x = 499,277.82

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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.