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Finding the Fourth Proportional to 422,093.76, 633,148.74 and 155,717.16

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Solution

The fourth proportional to 422,093.76, 633,148.74 and 155,717.16 is: 233,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,093.76 : 633,148.74 = 155,717.16 : x
  2. Step 2: Convert to fraction form
    422,093.76/633,148.74 = 155,717.16/x
  3. Step 3: Cross multiply
    422,093.76x = 633,148.74 × 155,717.16
  4. Step 4: Simplify right side
    422,093.76x = 98,592,123,650.38
  5. Step 5: Solve for x
    x = 98,592,123,650.38/422,093.76
  6. Step 6: Final answer
    x = 233,578.73

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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.