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Finding the Fourth Proportional to 667,013.41, 920,478.30 and 361,089.57

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Solution

The fourth proportional to 667,013.41, 920,478.30 and 361,089.57 is: 498,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,013.41 : 920,478.30 = 361,089.57 : x
  2. Step 2: Convert to fraction form
    667,013.41/920,478.30 = 361,089.57/x
  3. Step 3: Cross multiply
    667,013.41x = 920,478.30 × 361,089.57
  4. Step 4: Simplify right side
    667,013.41x = 332,375,115,639.04
  5. Step 5: Solve for x
    x = 332,375,115,639.04/667,013.41
  6. Step 6: Final answer
    x = 498,303.50

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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.