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Finding the Fourth Proportional to 299,886.55, 449,853.08 and 100,207.65

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Solution

The fourth proportional to 299,886.55, 449,853.08 and 100,207.65 is: 150,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,886.55 : 449,853.08 = 100,207.65 : x
  2. Step 2: Convert to fraction form
    299,886.55/449,853.08 = 100,207.65/x
  3. Step 3: Cross multiply
    299,886.55x = 449,853.08 × 100,207.65
  4. Step 4: Simplify right side
    299,886.55x = 45,078,719,992.06
  5. Step 5: Solve for x
    x = 45,078,719,992.06/299,886.55
  6. Step 6: Final answer
    x = 150,319.25

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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.