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Finding the Fourth Proportional to 287,610.60, 431,091.90 and 137,922.60

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Solution

The fourth proportional to 287,610.60, 431,091.90 and 137,922.60 is: 206,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,610.60 : 431,091.90 = 137,922.60 : x
  2. Step 2: Convert to fraction form
    287,610.60/431,091.90 = 137,922.60/x
  3. Step 3: Cross multiply
    287,610.60x = 431,091.90 × 137,922.60
  4. Step 4: Simplify right side
    287,610.60x = 59,457,315,686.94
  5. Step 5: Solve for x
    x = 59,457,315,686.94/287,610.60
  6. Step 6: Final answer
    x = 206,728.53

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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.