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Finding the Fourth Proportional to 298,152.16, 447,324.72 and 87,791.20

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Solution

The fourth proportional to 298,152.16, 447,324.72 and 87,791.20 is: 131,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,152.16 : 447,324.72 = 87,791.20 : x
  2. Step 2: Convert to fraction form
    298,152.16/447,324.72 = 87,791.20/x
  3. Step 3: Cross multiply
    298,152.16x = 447,324.72 × 87,791.20
  4. Step 4: Simplify right side
    298,152.16x = 39,271,173,958.46
  5. Step 5: Solve for x
    x = 39,271,173,958.46/298,152.16
  6. Step 6: Final answer
    x = 131,715.21

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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.