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Finding the Fourth Proportional to 298,049.40, 447,074.10 and 282,886.20

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Solution

The fourth proportional to 298,049.40, 447,074.10 and 282,886.20 is: 424,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,049.40 : 447,074.10 = 282,886.20 : x
  2. Step 2: Convert to fraction form
    298,049.40/447,074.10 = 282,886.20/x
  3. Step 3: Cross multiply
    298,049.40x = 447,074.10 × 282,886.20
  4. Step 4: Simplify right side
    298,049.40x = 126,471,093,267.42
  5. Step 5: Solve for x
    x = 126,471,093,267.42/298,049.40
  6. Step 6: Final answer
    x = 424,329.30

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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.