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Finding the Fourth Proportional to 408,008, 563,103.84 and 229,160

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Solution

The fourth proportional to 408,008, 563,103.84 and 229,160 is: 316,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,008 : 563,103.84 = 229,160 : x
  2. Step 2: Convert to fraction form
    408,008/563,103.84 = 229,160/x
  3. Step 3: Cross multiply
    408,008x = 563,103.84 × 229,160
  4. Step 4: Simplify right side
    408,008x = 129,040,875,974.40
  5. Step 5: Solve for x
    x = 129,040,875,974.40/408,008
  6. Step 6: Final answer
    x = 316,270.46

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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.