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Finding the Fourth Proportional to 298,047.21, 447,084.45 and 98,384.91

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Solution

The fourth proportional to 298,047.21, 447,084.45 and 98,384.91 is: 147,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,047.21 : 447,084.45 = 98,384.91 : x
  2. Step 2: Convert to fraction form
    298,047.21/447,084.45 = 98,384.91/x
  3. Step 3: Cross multiply
    298,047.21x = 447,084.45 × 98,384.91
  4. Step 4: Simplify right side
    298,047.21x = 43,986,363,375.65
  5. Step 5: Solve for x
    x = 43,986,363,375.65/298,047.21
  6. Step 6: Final answer
    x = 147,581.87

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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.