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Finding the Fourth Proportional to 421,652.76, 632,488.34 and 169,052.20

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Solution

The fourth proportional to 421,652.76, 632,488.34 and 169,052.20 is: 253,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,652.76 : 632,488.34 = 169,052.20 : x
  2. Step 2: Convert to fraction form
    421,652.76/632,488.34 = 169,052.20/x
  3. Step 3: Cross multiply
    421,652.76x = 632,488.34 × 169,052.20
  4. Step 4: Simplify right side
    421,652.76x = 106,923,545,351.35
  5. Step 5: Solve for x
    x = 106,923,545,351.35/421,652.76
  6. Step 6: Final answer
    x = 253,581.99

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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.