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Finding the Fourth Proportional to 445,687.80, 668,466.08 and 146,200.04

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Solution

The fourth proportional to 445,687.80, 668,466.08 and 146,200.04 is: 219,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,687.80 : 668,466.08 = 146,200.04 : x
  2. Step 2: Convert to fraction form
    445,687.80/668,466.08 = 146,200.04/x
  3. Step 3: Cross multiply
    445,687.80x = 668,466.08 × 146,200.04
  4. Step 4: Simplify right side
    445,687.80x = 97,729,767,634.64
  5. Step 5: Solve for x
    x = 97,729,767,634.64/445,687.80
  6. Step 6: Final answer
    x = 219,278.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.