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Finding the Fourth Proportional to 217,882.84, 300,678.42 and 122,389.56

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Solution

The fourth proportional to 217,882.84, 300,678.42 and 122,389.56 is: 168,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,882.84 : 300,678.42 = 122,389.56 : x
  2. Step 2: Convert to fraction form
    217,882.84/300,678.42 = 122,389.56/x
  3. Step 3: Cross multiply
    217,882.84x = 300,678.42 × 122,389.56
  4. Step 4: Simplify right side
    217,882.84x = 36,799,899,525.30
  5. Step 5: Solve for x
    x = 36,799,899,525.30/217,882.84
  6. Step 6: Final answer
    x = 168,897.65

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1.5x scale

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.