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Finding the Fourth Proportional to 218,698.20, 328,047.30 and 165,821.40

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Solution

The fourth proportional to 218,698.20, 328,047.30 and 165,821.40 is: 248,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,698.20 : 328,047.30 = 165,821.40 : x
  2. Step 2: Convert to fraction form
    218,698.20/328,047.30 = 165,821.40/x
  3. Step 3: Cross multiply
    218,698.20x = 328,047.30 × 165,821.40
  4. Step 4: Simplify right side
    218,698.20x = 54,397,262,552.22
  5. Step 5: Solve for x
    x = 54,397,262,552.22/218,698.20
  6. Step 6: Final answer
    x = 248,732.10

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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.