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Finding the Fourth Proportional to 299,763.81, 413,669.16 and 163,794.78

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Solution

The fourth proportional to 299,763.81, 413,669.16 and 163,794.78 is: 226,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,763.81 : 413,669.16 = 163,794.78 : x
  2. Step 2: Convert to fraction form
    299,763.81/413,669.16 = 163,794.78/x
  3. Step 3: Cross multiply
    299,763.81x = 413,669.16 × 163,794.78
  4. Step 4: Simplify right side
    299,763.81x = 67,756,849,054.98
  5. Step 5: Solve for x
    x = 67,756,849,054.98/299,763.81
  6. Step 6: Final answer
    x = 226,034.12

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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.