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Finding the Fourth Proportional to 218,722.71, 328,226.63 and 165,301.59

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Solution

The fourth proportional to 218,722.71, 328,226.63 and 165,301.59 is: 248,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,722.71 : 328,226.63 = 165,301.59 : x
  2. Step 2: Convert to fraction form
    218,722.71/328,226.63 = 165,301.59/x
  3. Step 3: Cross multiply
    218,722.71x = 328,226.63 × 165,301.59
  4. Step 4: Simplify right side
    218,722.71x = 54,256,382,992.83
  5. Step 5: Solve for x
    x = 54,256,382,992.83/218,722.71
  6. Step 6: Final answer
    x = 248,060.13

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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.