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Finding the Fourth Proportional to 399,664.60, 599,400.90 and 230,819.80

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Solution

The fourth proportional to 399,664.60, 599,400.90 and 230,819.80 is: 346,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,664.60 : 599,400.90 = 230,819.80 : x
  2. Step 2: Convert to fraction form
    399,664.60/599,400.90 = 230,819.80/x
  3. Step 3: Cross multiply
    399,664.60x = 599,400.90 × 230,819.80
  4. Step 4: Simplify right side
    399,664.60x = 138,353,595,857.82
  5. Step 5: Solve for x
    x = 138,353,595,857.82/399,664.60
  6. Step 6: Final answer
    x = 346,174.26

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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.