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Finding the Fourth Proportional to 399,213.60, 598,821.12 and 266,353.44

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Solution

The fourth proportional to 399,213.60, 598,821.12 and 266,353.44 is: 399,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,213.60 : 598,821.12 = 266,353.44 : x
  2. Step 2: Convert to fraction form
    399,213.60/598,821.12 = 266,353.44/x
  3. Step 3: Cross multiply
    399,213.60x = 598,821.12 × 266,353.44
  4. Step 4: Simplify right side
    399,213.60x = 159,498,065,256.65
  5. Step 5: Solve for x
    x = 159,498,065,256.65/399,213.60
  6. Step 6: Final answer
    x = 399,530.64

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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.