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Finding the Fourth Proportional to 298,049.40, 447,074.10 and 278,220.60

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Solution

The fourth proportional to 298,049.40, 447,074.10 and 278,220.60 is: 417,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,049.40 : 447,074.10 = 278,220.60 : x
  2. Step 2: Convert to fraction form
    298,049.40/447,074.10 = 278,220.60/x
  3. Step 3: Cross multiply
    298,049.40x = 447,074.10 × 278,220.60
  4. Step 4: Simplify right side
    298,049.40x = 124,385,224,346.46
  5. Step 5: Solve for x
    x = 124,385,224,346.46/298,049.40
  6. Step 6: Final answer
    x = 417,330.90

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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.