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Finding the Fourth Proportional to 299,708.91, 413,616.78 and 172,381.77

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Solution

The fourth proportional to 299,708.91, 413,616.78 and 172,381.77 is: 237,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,708.91 : 413,616.78 = 172,381.77 : x
  2. Step 2: Convert to fraction form
    299,708.91/413,616.78 = 172,381.77/x
  3. Step 3: Cross multiply
    299,708.91x = 413,616.78 × 172,381.77
  4. Step 4: Simplify right side
    299,708.91x = 71,299,992,638.10
  5. Step 5: Solve for x
    x = 71,299,992,638.10/299,708.91
  6. Step 6: Final answer
    x = 237,897.47

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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.