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Finding the Fourth Proportional to 667,009.65, 920,472.33 and 361,084.53

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Solution

The fourth proportional to 667,009.65, 920,472.33 and 361,084.53 is: 498,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,009.65 : 920,472.33 = 361,084.53 : x
  2. Step 2: Convert to fraction form
    667,009.65/920,472.33 = 361,084.53/x
  3. Step 3: Cross multiply
    667,009.65x = 920,472.33 × 361,084.53
  4. Step 4: Simplify right side
    667,009.65x = 332,368,318,656.06
  5. Step 5: Solve for x
    x = 332,368,318,656.06/667,009.65
  6. Step 6: Final answer
    x = 498,296.12

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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.