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Finding the Fourth Proportional to 421,227.60, 631,844.10 and 168,529.20

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Solution

The fourth proportional to 421,227.60, 631,844.10 and 168,529.20 is: 252,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,227.60 : 631,844.10 = 168,529.20 : x
  2. Step 2: Convert to fraction form
    421,227.60/631,844.10 = 168,529.20/x
  3. Step 3: Cross multiply
    421,227.60x = 631,844.10 × 168,529.20
  4. Step 4: Simplify right side
    421,227.60x = 106,484,180,697.72
  5. Step 5: Solve for x
    x = 106,484,180,697.72/421,227.60
  6. Step 6: Final answer
    x = 252,794.88

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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.