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Finding the Fourth Proportional to 299,782.70, 413,701.20 and 163,816.65

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Solution

The fourth proportional to 299,782.70, 413,701.20 and 163,816.65 is: 226,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,782.70 : 413,701.20 = 163,816.65 : x
  2. Step 2: Convert to fraction form
    299,782.70/413,701.20 = 163,816.65/x
  3. Step 3: Cross multiply
    299,782.70x = 413,701.20 × 163,816.65
  4. Step 4: Simplify right side
    299,782.70x = 67,771,144,684.98
  5. Step 5: Solve for x
    x = 67,771,144,684.98/299,782.70
  6. Step 6: Final answer
    x = 226,067.57

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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.