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Finding the Fourth Proportional to 298,590.75, 447,886.13 and 76,974.75

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Solution

The fourth proportional to 298,590.75, 447,886.13 and 76,974.75 is: 115,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,590.75 : 447,886.13 = 76,974.75 : x
  2. Step 2: Convert to fraction form
    298,590.75/447,886.13 = 76,974.75/x
  3. Step 3: Cross multiply
    298,590.75x = 447,886.13 × 76,974.75
  4. Step 4: Simplify right side
    298,590.75x = 34,475,922,500.34
  5. Step 5: Solve for x
    x = 34,475,922,500.34/298,590.75
  6. Step 6: Final answer
    x = 115,462.13

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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.