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Finding the Fourth Proportional to 300,000, 414,008.64 and 165,872.64

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Solution

The fourth proportional to 300,000, 414,008.64 and 165,872.64 is: 228,909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,000 : 414,008.64 = 165,872.64 : x
  2. Step 2: Convert to fraction form
    300,000/414,008.64 = 165,872.64/x
  3. Step 3: Cross multiply
    300,000x = 414,008.64 × 165,872.64
  4. Step 4: Simplify right side
    300,000x = 68,672,706,099.61
  5. Step 5: Solve for x
    x = 68,672,706,099.61/300,000
  6. Step 6: Final answer
    x = 228,909.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.