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Finding the Fourth Proportional to 219,902.80, 329,416.80 and 204,156.40

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Solution

The fourth proportional to 219,902.80, 329,416.80 and 204,156.40 is: 305,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,902.80 : 329,416.80 = 204,156.40 : x
  2. Step 2: Convert to fraction form
    219,902.80/329,416.80 = 204,156.40/x
  3. Step 3: Cross multiply
    219,902.80x = 329,416.80 × 204,156.40
  4. Step 4: Simplify right side
    219,902.80x = 67,252,547,987.52
  5. Step 5: Solve for x
    x = 67,252,547,987.52/219,902.80
  6. Step 6: Final answer
    x = 305,828.52

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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.