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Finding the Fourth Proportional to 445,691.56, 668,471.70 and 146,203.78

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Solution

The fourth proportional to 445,691.56, 668,471.70 and 146,203.78 is: 219,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,691.56 : 668,471.70 = 146,203.78 : x
  2. Step 2: Convert to fraction form
    445,691.56/668,471.70 = 146,203.78/x
  3. Step 3: Cross multiply
    445,691.56x = 668,471.70 × 146,203.78
  4. Step 4: Simplify right side
    445,691.56x = 97,733,089,363.03
  5. Step 5: Solve for x
    x = 97,733,089,363.03/445,691.56
  6. Step 6: Final answer
    x = 219,284.14

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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.