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Finding the Fourth Proportional to 298,002.80, 447,018.20 and 98,340.64

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Solution

The fourth proportional to 298,002.80, 447,018.20 and 98,340.64 is: 147,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.80 : 447,018.20 = 98,340.64 : x
  2. Step 2: Convert to fraction form
    298,002.80/447,018.20 = 98,340.64/x
  3. Step 3: Cross multiply
    298,002.80x = 447,018.20 × 98,340.64
  4. Step 4: Simplify right side
    298,002.80x = 43,960,055,879.65
  5. Step 5: Solve for x
    x = 43,960,055,879.65/298,002.80
  6. Step 6: Final answer
    x = 147,515.58

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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.