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Finding the Fourth Proportional to 252,602.50, 378,608.50 and 140,228.98

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Solution

The fourth proportional to 252,602.50, 378,608.50 and 140,228.98 is: 210,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,602.50 : 378,608.50 = 140,228.98 : x
  2. Step 2: Convert to fraction form
    252,602.50/378,608.50 = 140,228.98/x
  3. Step 3: Cross multiply
    252,602.50x = 378,608.50 × 140,228.98
  4. Step 4: Simplify right side
    252,602.50x = 53,091,883,774.33
  5. Step 5: Solve for x
    x = 53,091,883,774.33/252,602.50
  6. Step 6: Final answer
    x = 210,179.57

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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.