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Finding the Fourth Proportional to 298,612.12, 412,174.78 and 203,174.18

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Solution

The fourth proportional to 298,612.12, 412,174.78 and 203,174.18 is: 280,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,612.12 : 412,174.78 = 203,174.18 : x
  2. Step 2: Convert to fraction form
    298,612.12/412,174.78 = 203,174.18/x
  3. Step 3: Cross multiply
    298,612.12x = 412,174.78 × 203,174.18
  4. Step 4: Simplify right side
    298,612.12x = 83,743,271,718.63
  5. Step 5: Solve for x
    x = 83,743,271,718.63/298,612.12
  6. Step 6: Final answer
    x = 280,441.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.