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Finding the Fourth Proportional to 399,624, 599,422.20 and 100,107.18

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Solution

The fourth proportional to 399,624, 599,422.20 and 100,107.18 is: 150,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,624 : 599,422.20 = 100,107.18 : x
  2. Step 2: Convert to fraction form
    399,624/599,422.20 = 100,107.18/x
  3. Step 3: Cross multiply
    399,624x = 599,422.20 × 100,107.18
  4. Step 4: Simplify right side
    399,624x = 60,006,466,071.40
  5. Step 5: Solve for x
    x = 60,006,466,071.40/399,624
  6. Step 6: Final answer
    x = 150,157.31

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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.