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Finding the Fourth Proportional to 253,941, 350,438.90 and 140,780.68

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Solution

The fourth proportional to 253,941, 350,438.90 and 140,780.68 is: 194,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,941 : 350,438.90 = 140,780.68 : x
  2. Step 2: Convert to fraction form
    253,941/350,438.90 = 140,780.68/x
  3. Step 3: Cross multiply
    253,941x = 350,438.90 × 140,780.68
  4. Step 4: Simplify right side
    253,941x = 49,335,026,640.45
  5. Step 5: Solve for x
    x = 49,335,026,640.45/253,941
  6. Step 6: Final answer
    x = 194,277.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.