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Finding the Fourth Proportional to 219,821.60, 329,926.80 and 188,328.80

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Solution

The fourth proportional to 219,821.60, 329,926.80 and 188,328.80 is: 282,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,821.60 : 329,926.80 = 188,328.80 : x
  2. Step 2: Convert to fraction form
    219,821.60/329,926.80 = 188,328.80/x
  3. Step 3: Cross multiply
    219,821.60x = 329,926.80 × 188,328.80
  4. Step 4: Simplify right side
    219,821.60x = 62,134,718,331.84
  5. Step 5: Solve for x
    x = 62,134,718,331.84/219,821.60
  6. Step 6: Final answer
    x = 282,659.75

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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.