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Finding the Fourth Proportional to 299,724, 413,620.56 and 172,407.12

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Solution

The fourth proportional to 299,724, 413,620.56 and 172,407.12 is: 237,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,724 : 413,620.56 = 172,407.12 : x
  2. Step 2: Convert to fraction form
    299,724/413,620.56 = 172,407.12/x
  3. Step 3: Cross multiply
    299,724x = 413,620.56 × 172,407.12
  4. Step 4: Simplify right side
    299,724x = 71,311,129,522.39
  5. Step 5: Solve for x
    x = 71,311,129,522.39/299,724
  6. Step 6: Final answer
    x = 237,922.65

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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.