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Finding the Fourth Proportional to 561,885, 842,828.34 and 229,461

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Solution

The fourth proportional to 561,885, 842,828.34 and 229,461 is: 344,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,885 : 842,828.34 = 229,461 : x
  2. Step 2: Convert to fraction form
    561,885/842,828.34 = 229,461/x
  3. Step 3: Cross multiply
    561,885x = 842,828.34 × 229,461
  4. Step 4: Simplify right side
    561,885x = 193,396,233,724.74
  5. Step 5: Solve for x
    x = 193,396,233,724.74/561,885
  6. Step 6: Final answer
    x = 344,191.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.