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Finding the Fourth Proportional to 226,978.62, 312,697.69 and 157,949.41

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Solution

The fourth proportional to 226,978.62, 312,697.69 and 157,949.41 is: 217,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,978.62 : 312,697.69 = 157,949.41 : x
  2. Step 2: Convert to fraction form
    226,978.62/312,697.69 = 157,949.41/x
  3. Step 3: Cross multiply
    226,978.62x = 312,697.69 × 157,949.41
  4. Step 4: Simplify right side
    226,978.62x = 49,390,415,643.86
  5. Step 5: Solve for x
    x = 49,390,415,643.86/226,978.62
  6. Step 6: Final answer
    x = 217,599.42

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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.