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Finding the Fourth Proportional to 299,306.88, 413,114.19 and 172,056.30

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Solution

The fourth proportional to 299,306.88, 413,114.19 and 172,056.30 is: 237,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,306.88 : 413,114.19 = 172,056.30 : x
  2. Step 2: Convert to fraction form
    299,306.88/413,114.19 = 172,056.30/x
  3. Step 3: Cross multiply
    299,306.88x = 413,114.19 × 172,056.30
  4. Step 4: Simplify right side
    299,306.88x = 71,078,899,008.90
  5. Step 5: Solve for x
    x = 71,078,899,008.90/299,306.88
  6. Step 6: Final answer
    x = 237,478.33

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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.