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Finding the Fourth Proportional to 399,631, 599,432.68 and 100,114.20

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Solution

The fourth proportional to 399,631, 599,432.68 and 100,114.20 is: 150,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,631 : 599,432.68 = 100,114.20 : x
  2. Step 2: Convert to fraction form
    399,631/599,432.68 = 100,114.20/x
  3. Step 3: Cross multiply
    399,631x = 599,432.68 × 100,114.20
  4. Step 4: Simplify right side
    399,631x = 60,011,723,212.06
  5. Step 5: Solve for x
    x = 60,011,723,212.06/399,631
  6. Step 6: Final answer
    x = 150,167.84

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1.5x scale

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.