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Finding the Fourth Proportional to 251,972.78, 347,709.31 and 156,477.42

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Solution

The fourth proportional to 251,972.78, 347,709.31 and 156,477.42 is: 215,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,972.78 : 347,709.31 = 156,477.42 : x
  2. Step 2: Convert to fraction form
    251,972.78/347,709.31 = 156,477.42/x
  3. Step 3: Cross multiply
    251,972.78x = 347,709.31 × 156,477.42
  4. Step 4: Simplify right side
    251,972.78x = 54,408,655,347.59
  5. Step 5: Solve for x
    x = 54,408,655,347.59/251,972.78
  6. Step 6: Final answer
    x = 215,930.69

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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.