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Finding the Fourth Proportional to 218,044.34, 300,926.13 and 121,257.84

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Solution

The fourth proportional to 218,044.34, 300,926.13 and 121,257.84 is: 167,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,044.34 : 300,926.13 = 121,257.84 : x
  2. Step 2: Convert to fraction form
    218,044.34/300,926.13 = 121,257.84/x
  3. Step 3: Cross multiply
    218,044.34x = 300,926.13 × 121,257.84
  4. Step 4: Simplify right side
    218,044.34x = 36,489,652,523.36
  5. Step 5: Solve for x
    x = 36,489,652,523.36/218,044.34
  6. Step 6: Final answer
    x = 167,349.69

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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.