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Finding the Fourth Proportional to 423,954.72, 635,489.28 and 311,467.68

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Solution

The fourth proportional to 423,954.72, 635,489.28 and 311,467.68 is: 466,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,954.72 : 635,489.28 = 311,467.68 : x
  2. Step 2: Convert to fraction form
    423,954.72/635,489.28 = 311,467.68/x
  3. Step 3: Cross multiply
    423,954.72x = 635,489.28 × 311,467.68
  4. Step 4: Simplify right side
    423,954.72x = 197,934,371,706.47
  5. Step 5: Solve for x
    x = 197,934,371,706.47/423,954.72
  6. Step 6: Final answer
    x = 466,876.21

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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.