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Finding the Fourth Proportional to 298,085.28, 447,131.16 and 87,727.20

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Solution

The fourth proportional to 298,085.28, 447,131.16 and 87,727.20 is: 131,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,085.28 : 447,131.16 = 87,727.20 : x
  2. Step 2: Convert to fraction form
    298,085.28/447,131.16 = 87,727.20/x
  3. Step 3: Cross multiply
    298,085.28x = 447,131.16 × 87,727.20
  4. Step 4: Simplify right side
    298,085.28x = 39,225,564,699.55
  5. Step 5: Solve for x
    x = 39,225,564,699.55/298,085.28
  6. Step 6: Final answer
    x = 131,591.75

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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.