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Finding the Fourth Proportional to 298,212.10, 447,026.55 and 266,719.30

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Solution

The fourth proportional to 298,212.10, 447,026.55 and 266,719.30 is: 399,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,212.10 : 447,026.55 = 266,719.30 : x
  2. Step 2: Convert to fraction form
    298,212.10/447,026.55 = 266,719.30/x
  3. Step 3: Cross multiply
    298,212.10x = 447,026.55 × 266,719.30
  4. Step 4: Simplify right side
    298,212.10x = 119,230,608,497.42
  5. Step 5: Solve for x
    x = 119,230,608,497.42/298,212.10
  6. Step 6: Final answer
    x = 399,818.14

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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.