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Finding the Fourth Proportional to 352,228.75, 528,014.42 and 138,998.43

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Solution

The fourth proportional to 352,228.75, 528,014.42 and 138,998.43 is: 208,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,228.75 : 528,014.42 = 138,998.43 : x
  2. Step 2: Convert to fraction form
    352,228.75/528,014.42 = 138,998.43/x
  3. Step 3: Cross multiply
    352,228.75x = 528,014.42 × 138,998.43
  4. Step 4: Simplify right side
    352,228.75x = 73,393,175,397.36
  5. Step 5: Solve for x
    x = 73,393,175,397.36/352,228.75
  6. Step 6: Final answer
    x = 208,367.93

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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.