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Finding the Fourth Proportional to 421,141.08, 632,149.14 and 243,994.20

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Solution

The fourth proportional to 421,141.08, 632,149.14 and 243,994.20 is: 366,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,141.08 : 632,149.14 = 243,994.20 : x
  2. Step 2: Convert to fraction form
    421,141.08/632,149.14 = 243,994.20/x
  3. Step 3: Cross multiply
    421,141.08x = 632,149.14 × 243,994.20
  4. Step 4: Simplify right side
    421,141.08x = 154,240,723,694.99
  5. Step 5: Solve for x
    x = 154,240,723,694.99/421,141.08
  6. Step 6: Final answer
    x = 366,244.78

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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.