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Finding the Fourth Proportional to 421,964.80, 632,720.16 and 169,118.40

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Solution

The fourth proportional to 421,964.80, 632,720.16 and 169,118.40 is: 253,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,964.80 : 632,720.16 = 169,118.40 : x
  2. Step 2: Convert to fraction form
    421,964.80/632,720.16 = 169,118.40/x
  3. Step 3: Cross multiply
    421,964.80x = 632,720.16 × 169,118.40
  4. Step 4: Simplify right side
    421,964.80x = 107,004,621,106.94
  5. Step 5: Solve for x
    x = 107,004,621,106.94/421,964.80
  6. Step 6: Final answer
    x = 253,586.61

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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.