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Finding the Fourth Proportional to 427,098.44, 640,706.52 and 146,579.24

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Solution

The fourth proportional to 427,098.44, 640,706.52 and 146,579.24 is: 219,889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,098.44 : 640,706.52 = 146,579.24 : x
  2. Step 2: Convert to fraction form
    427,098.44/640,706.52 = 146,579.24/x
  3. Step 3: Cross multiply
    427,098.44x = 640,706.52 × 146,579.24
  4. Step 4: Simplify right side
    427,098.44x = 93,914,274,764.64
  5. Step 5: Solve for x
    x = 93,914,274,764.64/427,098.44
  6. Step 6: Final answer
    x = 219,889.06

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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.