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Finding the Fourth Proportional to 667,077.80, 920,560.86 and 361,146.33

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Solution

The fourth proportional to 667,077.80, 920,560.86 and 361,146.33 is: 498,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,077.80 : 920,560.86 = 361,146.33 : x
  2. Step 2: Convert to fraction form
    667,077.80/920,560.86 = 361,146.33/x
  3. Step 3: Cross multiply
    667,077.80x = 920,560.86 × 361,146.33
  4. Step 4: Simplify right side
    667,077.80x = 332,457,176,130.64
  5. Step 5: Solve for x
    x = 332,457,176,130.64/667,077.80
  6. Step 6: Final answer
    x = 498,378.42

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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.