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Finding the Fourth Proportional to 287,938.56, 431,910.72 and 100,954.56

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Solution

The fourth proportional to 287,938.56, 431,910.72 and 100,954.56 is: 151,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,938.56 : 431,910.72 = 100,954.56 : x
  2. Step 2: Convert to fraction form
    287,938.56/431,910.72 = 100,954.56/x
  3. Step 3: Cross multiply
    287,938.56x = 431,910.72 × 100,954.56
  4. Step 4: Simplify right side
    287,938.56x = 43,603,356,696.88
  5. Step 5: Solve for x
    x = 43,603,356,696.88/287,938.56
  6. Step 6: Final answer
    x = 151,432.85

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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.