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Finding the Fourth Proportional to 445,692.56, 668,473.20 and 146,204.78

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Solution

The fourth proportional to 445,692.56, 668,473.20 and 146,204.78 is: 219,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,692.56 : 668,473.20 = 146,204.78 : x
  2. Step 2: Convert to fraction form
    445,692.56/668,473.20 = 146,204.78/x
  3. Step 3: Cross multiply
    445,692.56x = 668,473.20 × 146,204.78
  4. Step 4: Simplify right side
    445,692.56x = 97,733,977,141.90
  5. Step 5: Solve for x
    x = 97,733,977,141.90/445,692.56
  6. Step 6: Final answer
    x = 219,285.64

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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.