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Finding the Fourth Proportional to 561,870, 842,805.81 and 229,446

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Solution

The fourth proportional to 561,870, 842,805.81 and 229,446 is: 344,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,870 : 842,805.81 = 229,446 : x
  2. Step 2: Convert to fraction form
    561,870/842,805.81 = 229,446/x
  3. Step 3: Cross multiply
    561,870x = 842,805.81 × 229,446
  4. Step 4: Simplify right side
    561,870x = 193,378,421,881.26
  5. Step 5: Solve for x
    x = 193,378,421,881.26/561,870
  6. Step 6: Final answer
    x = 344,169.33

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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.