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Finding the Fourth Proportional to 299,486.64, 413,288.43 and 163,520.17

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Solution

The fourth proportional to 299,486.64, 413,288.43 and 163,520.17 is: 225,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,486.64 : 413,288.43 = 163,520.17 : x
  2. Step 2: Convert to fraction form
    299,486.64/413,288.43 = 163,520.17/x
  3. Step 3: Cross multiply
    299,486.64x = 413,288.43 × 163,520.17
  4. Step 4: Simplify right side
    299,486.64x = 67,580,993,606.01
  5. Step 5: Solve for x
    x = 67,580,993,606.01/299,486.64
  6. Step 6: Final answer
    x = 225,656.12

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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.