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Finding the Fourth Proportional to 298,507.20, 447,760.80 and 111,508.80

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Solution

The fourth proportional to 298,507.20, 447,760.80 and 111,508.80 is: 167,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,507.20 : 447,760.80 = 111,508.80 : x
  2. Step 2: Convert to fraction form
    298,507.20/447,760.80 = 111,508.80/x
  3. Step 3: Cross multiply
    298,507.20x = 447,760.80 × 111,508.80
  4. Step 4: Simplify right side
    298,507.20x = 49,929,269,495.04
  5. Step 5: Solve for x
    x = 49,929,269,495.04/298,507.20
  6. Step 6: Final answer
    x = 167,263.20

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1.5x scale

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.