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Finding the Fourth Proportional to 399,756.92, 599,464.70 and 231,393.48

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Solution

The fourth proportional to 399,756.92, 599,464.70 and 231,393.48 is: 346,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,756.92 : 599,464.70 = 231,393.48 : x
  2. Step 2: Convert to fraction form
    399,756.92/599,464.70 = 231,393.48/x
  3. Step 3: Cross multiply
    399,756.92x = 599,464.70 × 231,393.48
  4. Step 4: Simplify right side
    399,756.92x = 138,712,223,070.16
  5. Step 5: Solve for x
    x = 138,712,223,070.16/399,756.92
  6. Step 6: Final answer
    x = 346,991.42

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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.