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Finding the Fourth Proportional to 299,677.80, 413,561.34 and 163,717.20

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Solution

The fourth proportional to 299,677.80, 413,561.34 and 163,717.20 is: 225,933.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,677.80 : 413,561.34 = 163,717.20 : x
  2. Step 2: Convert to fraction form
    299,677.80/413,561.34 = 163,717.20/x
  3. Step 3: Cross multiply
    299,677.80x = 413,561.34 × 163,717.20
  4. Step 4: Simplify right side
    299,677.80x = 67,707,104,613.05
  5. Step 5: Solve for x
    x = 67,707,104,613.05/299,677.80
  6. Step 6: Final answer
    x = 225,933.00

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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.