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Finding the Fourth Proportional to 299,650, 413,518.40 and 163,685.83

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Solution

The fourth proportional to 299,650, 413,518.40 and 163,685.83 is: 225,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,650 : 413,518.40 = 163,685.83 : x
  2. Step 2: Convert to fraction form
    299,650/413,518.40 = 163,685.83/x
  3. Step 3: Cross multiply
    299,650x = 413,518.40 × 163,685.83
  4. Step 4: Simplify right side
    299,650x = 67,687,102,524.27
  5. Step 5: Solve for x
    x = 67,687,102,524.27/299,650
  6. Step 6: Final answer
    x = 225,887.21

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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.