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Finding the Fourth Proportional to 285,731.06, 428,599.83 and 108,189.86

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Solution

The fourth proportional to 285,731.06, 428,599.83 and 108,189.86 is: 162,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,731.06 : 428,599.83 = 108,189.86 : x
  2. Step 2: Convert to fraction form
    285,731.06/428,599.83 = 108,189.86/x
  3. Step 3: Cross multiply
    285,731.06x = 428,599.83 × 108,189.86
  4. Step 4: Simplify right side
    285,731.06x = 46,370,155,603.72
  5. Step 5: Solve for x
    x = 46,370,155,603.72/285,731.06
  6. Step 6: Final answer
    x = 162,286.02

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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.