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Finding the Fourth Proportional to 518,908.80, 777,931.20 and 219,619.20

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Solution

The fourth proportional to 518,908.80, 777,931.20 and 219,619.20 is: 329,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,908.80 : 777,931.20 = 219,619.20 : x
  2. Step 2: Convert to fraction form
    518,908.80/777,931.20 = 219,619.20/x
  3. Step 3: Cross multiply
    518,908.80x = 777,931.20 × 219,619.20
  4. Step 4: Simplify right side
    518,908.80x = 170,848,627,799.04
  5. Step 5: Solve for x
    x = 170,848,627,799.04/518,908.80
  6. Step 6: Final answer
    x = 329,245.96

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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.