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Finding the Fourth Proportional to 298,031.40, 447,047.10 and 191,743.20

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Solution

The fourth proportional to 298,031.40, 447,047.10 and 191,743.20 is: 287,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,031.40 : 447,047.10 = 191,743.20 : x
  2. Step 2: Convert to fraction form
    298,031.40/447,047.10 = 191,743.20/x
  3. Step 3: Cross multiply
    298,031.40x = 447,047.10 × 191,743.20
  4. Step 4: Simplify right side
    298,031.40x = 85,718,241,504.72
  5. Step 5: Solve for x
    x = 85,718,241,504.72/298,031.40
  6. Step 6: Final answer
    x = 287,614.80

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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.