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Finding the Fourth Proportional to 420,889.46, 631,427.46 and 121,346.66

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Solution

The fourth proportional to 420,889.46, 631,427.46 and 121,346.66 is: 182,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,889.46 : 631,427.46 = 121,346.66 : x
  2. Step 2: Convert to fraction form
    420,889.46/631,427.46 = 121,346.66/x
  3. Step 3: Cross multiply
    420,889.46x = 631,427.46 × 121,346.66
  4. Step 4: Simplify right side
    420,889.46x = 76,621,610,146.15
  5. Step 5: Solve for x
    x = 76,621,610,146.15/420,889.46
  6. Step 6: Final answer
    x = 182,046.88

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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.