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Finding the Fourth Proportional to 299,291.40, 447,641.10 and 267,928.20

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Solution

The fourth proportional to 299,291.40, 447,641.10 and 267,928.20 is: 400,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,291.40 : 447,641.10 = 267,928.20 : x
  2. Step 2: Convert to fraction form
    299,291.40/447,641.10 = 267,928.20/x
  3. Step 3: Cross multiply
    299,291.40x = 447,641.10 × 267,928.20
  4. Step 4: Simplify right side
    299,291.40x = 119,935,674,169.02
  5. Step 5: Solve for x
    x = 119,935,674,169.02/299,291.40
  6. Step 6: Final answer
    x = 400,732.11

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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.