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Finding the Fourth Proportional to 421,288.56, 631,932.72 and 168,682.80

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Solution

The fourth proportional to 421,288.56, 631,932.72 and 168,682.80 is: 253,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,288.56 : 631,932.72 = 168,682.80 : x
  2. Step 2: Convert to fraction form
    421,288.56/631,932.72 = 168,682.80/x
  3. Step 3: Cross multiply
    421,288.56x = 631,932.72 × 168,682.80
  4. Step 4: Simplify right side
    421,288.56x = 106,596,180,621.22
  5. Step 5: Solve for x
    x = 106,596,180,621.22/421,288.56
  6. Step 6: Final answer
    x = 253,024.15

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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.