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Finding the Fourth Proportional to 287,779.73, 431,680.97 and 107,846.34

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Solution

The fourth proportional to 287,779.73, 431,680.97 and 107,846.34 is: 161,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,779.73 : 431,680.97 = 107,846.34 : x
  2. Step 2: Convert to fraction form
    287,779.73/431,680.97 = 107,846.34/x
  3. Step 3: Cross multiply
    287,779.73x = 431,680.97 × 107,846.34
  4. Step 4: Simplify right side
    287,779.73x = 46,555,212,122.92
  5. Step 5: Solve for x
    x = 46,555,212,122.92/287,779.73
  6. Step 6: Final answer
    x = 161,773.77

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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.