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Finding the Fourth Proportional to 399,722.40, 598,599.45 and 189,114.30

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Solution

The fourth proportional to 399,722.40, 598,599.45 and 189,114.30 is: 283,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,722.40 : 598,599.45 = 189,114.30 : x
  2. Step 2: Convert to fraction form
    399,722.40/598,599.45 = 189,114.30/x
  3. Step 3: Cross multiply
    399,722.40x = 598,599.45 × 189,114.30
  4. Step 4: Simplify right side
    399,722.40x = 113,203,715,967.14
  5. Step 5: Solve for x
    x = 113,203,715,967.14/399,722.40
  6. Step 6: Final answer
    x = 283,205.83

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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.