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Finding the Fourth Proportional to 219,813.20, 329,719.80 and 185,598.80

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Solution

The fourth proportional to 219,813.20, 329,719.80 and 185,598.80 is: 278,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,813.20 : 329,719.80 = 185,598.80 : x
  2. Step 2: Convert to fraction form
    219,813.20/329,719.80 = 185,598.80/x
  3. Step 3: Cross multiply
    219,813.20x = 329,719.80 × 185,598.80
  4. Step 4: Simplify right side
    219,813.20x = 61,195,599,216.24
  5. Step 5: Solve for x
    x = 61,195,599,216.24/219,813.20
  6. Step 6: Final answer
    x = 278,398.20

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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.