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Finding the Fourth Proportional to 219,404.64, 329,106.96 and 77,216.43

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Solution

The fourth proportional to 219,404.64, 329,106.96 and 77,216.43 is: 115,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,404.64 : 329,106.96 = 77,216.43 : x
  2. Step 2: Convert to fraction form
    219,404.64/329,106.96 = 77,216.43/x
  3. Step 3: Cross multiply
    219,404.64x = 329,106.96 × 77,216.43
  4. Step 4: Simplify right side
    219,404.64x = 25,412,464,539.35
  5. Step 5: Solve for x
    x = 25,412,464,539.35/219,404.64
  6. Step 6: Final answer
    x = 115,824.65

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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.