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Finding the Fourth Proportional to 399,548.43, 551,393.60 and 229,782.69

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Solution

The fourth proportional to 399,548.43, 551,393.60 and 229,782.69 is: 317,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,548.43 : 551,393.60 = 229,782.69 : x
  2. Step 2: Convert to fraction form
    399,548.43/551,393.60 = 229,782.69/x
  3. Step 3: Cross multiply
    399,548.43x = 551,393.60 × 229,782.69
  4. Step 4: Simplify right side
    399,548.43x = 126,700,703,507.87
  5. Step 5: Solve for x
    x = 126,700,703,507.87/399,548.43
  6. Step 6: Final answer
    x = 317,109.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.