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Finding the Fourth Proportional to 299,306.68, 413,051.92 and 163,349.36

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Solution

The fourth proportional to 299,306.68, 413,051.92 and 163,349.36 is: 225,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,306.68 : 413,051.92 = 163,349.36 : x
  2. Step 2: Convert to fraction form
    299,306.68/413,051.92 = 163,349.36/x
  3. Step 3: Cross multiply
    299,306.68x = 413,051.92 × 163,349.36
  4. Step 4: Simplify right side
    299,306.68x = 67,471,766,778.77
  5. Step 5: Solve for x
    x = 67,471,766,778.77/299,306.68
  6. Step 6: Final answer
    x = 225,426.87

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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.