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Finding the Fourth Proportional to 298,680.85, 447,752.25 and 109,008.13

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Solution

The fourth proportional to 298,680.85, 447,752.25 and 109,008.13 is: 163,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,680.85 : 447,752.25 = 109,008.13 : x
  2. Step 2: Convert to fraction form
    298,680.85/447,752.25 = 109,008.13/x
  3. Step 3: Cross multiply
    298,680.85x = 447,752.25 × 109,008.13
  4. Step 4: Simplify right side
    298,680.85x = 48,808,634,356.41
  5. Step 5: Solve for x
    x = 48,808,634,356.41/298,680.85
  6. Step 6: Final answer
    x = 163,414.01

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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.