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Finding the Fourth Proportional to 299,525.88, 413,343.18 and 165,387

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Solution

The fourth proportional to 299,525.88, 413,343.18 and 165,387 is: 228,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,525.88 : 413,343.18 = 165,387 : x
  2. Step 2: Convert to fraction form
    299,525.88/413,343.18 = 165,387/x
  3. Step 3: Cross multiply
    299,525.88x = 413,343.18 × 165,387
  4. Step 4: Simplify right side
    299,525.88x = 68,361,588,510.66
  5. Step 5: Solve for x
    x = 68,361,588,510.66/299,525.88
  6. Step 6: Final answer
    x = 228,232.66

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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.