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Finding the Fourth Proportional to 298,452.08, 447,678.12 and 98,718.80

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Solution

The fourth proportional to 298,452.08, 447,678.12 and 98,718.80 is: 148,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,452.08 : 447,678.12 = 98,718.80 : x
  2. Step 2: Convert to fraction form
    298,452.08/447,678.12 = 98,718.80/x
  3. Step 3: Cross multiply
    298,452.08x = 447,678.12 × 98,718.80
  4. Step 4: Simplify right side
    298,452.08x = 44,194,246,792.66
  5. Step 5: Solve for x
    x = 44,194,246,792.66/298,452.08
  6. Step 6: Final answer
    x = 148,078.20

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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.