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Finding the Fourth Proportional to 299,732.36, 413,630.34 and 172,404.68

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Solution

The fourth proportional to 299,732.36, 413,630.34 and 172,404.68 is: 237,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,732.36 : 413,630.34 = 172,404.68 : x
  2. Step 2: Convert to fraction form
    299,732.36/413,630.34 = 172,404.68/x
  3. Step 3: Cross multiply
    299,732.36x = 413,630.34 × 172,404.68
  4. Step 4: Simplify right side
    299,732.36x = 71,311,806,405.99
  5. Step 5: Solve for x
    x = 71,311,806,405.99/299,732.36
  6. Step 6: Final answer
    x = 237,918.28

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1.5x scale

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.