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Finding the Fourth Proportional to 299,505.09, 413,314.95 and 163,539

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Solution

The fourth proportional to 299,505.09, 413,314.95 and 163,539 is: 225,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,505.09 : 413,314.95 = 163,539 : x
  2. Step 2: Convert to fraction form
    299,505.09/413,314.95 = 163,539/x
  3. Step 3: Cross multiply
    299,505.09x = 413,314.95 × 163,539
  4. Step 4: Simplify right side
    299,505.09x = 67,593,114,221.32
  5. Step 5: Solve for x
    x = 67,593,114,221.32/299,505.09
  6. Step 6: Final answer
    x = 225,682.69

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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.