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Finding the Fourth Proportional to 287,237.31, 431,052.80 and 100,248.81

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Solution

The fourth proportional to 287,237.31, 431,052.80 and 100,248.81 is: 150,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,237.31 : 431,052.80 = 100,248.81 : x
  2. Step 2: Convert to fraction form
    287,237.31/431,052.80 = 100,248.81/x
  3. Step 3: Cross multiply
    287,237.31x = 431,052.80 × 100,248.81
  4. Step 4: Simplify right side
    287,237.31x = 43,212,529,745.92
  5. Step 5: Solve for x
    x = 43,212,529,745.92/287,237.31
  6. Step 6: Final answer
    x = 150,441.91

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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.