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Finding the Fourth Proportional to 667,608.80, 921,294.12 and 361,678.16

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Solution

The fourth proportional to 667,608.80, 921,294.12 and 361,678.16 is: 499,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,608.80 : 921,294.12 = 361,678.16 : x
  2. Step 2: Convert to fraction form
    667,608.80/921,294.12 = 361,678.16/x
  3. Step 3: Cross multiply
    667,608.80x = 921,294.12 × 361,678.16
  4. Step 4: Simplify right side
    667,608.80x = 333,211,962,140.42
  5. Step 5: Solve for x
    x = 333,211,962,140.42/667,608.80
  6. Step 6: Final answer
    x = 499,112.60

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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.