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Finding the Fourth Proportional to 285,390.96, 428,049.45 and 107,874.87

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Solution

The fourth proportional to 285,390.96, 428,049.45 and 107,874.87 is: 161,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,390.96 : 428,049.45 = 107,874.87 : x
  2. Step 2: Convert to fraction form
    285,390.96/428,049.45 = 107,874.87/x
  3. Step 3: Cross multiply
    285,390.96x = 428,049.45 × 107,874.87
  4. Step 4: Simplify right side
    285,390.96x = 46,175,778,772.32
  5. Step 5: Solve for x
    x = 46,175,778,772.32/285,390.96
  6. Step 6: Final answer
    x = 161,798.32

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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.