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Finding the Fourth Proportional to 415,638, 623,560.68 and 120,150

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Solution

The fourth proportional to 415,638, 623,560.68 and 120,150 is: 180,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,638 : 623,560.68 = 120,150 : x
  2. Step 2: Convert to fraction form
    415,638/623,560.68 = 120,150/x
  3. Step 3: Cross multiply
    415,638x = 623,560.68 × 120,150
  4. Step 4: Simplify right side
    415,638x = 74,920,815,702
  5. Step 5: Solve for x
    x = 74,920,815,702/415,638
  6. Step 6: Final answer
    x = 180,254.97

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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.