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Finding the Fourth Proportional to 399,548.31, 551,393.43 and 229,782.57

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Solution

The fourth proportional to 399,548.31, 551,393.43 and 229,782.57 is: 317,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,548.31 : 551,393.43 = 229,782.57 : x
  2. Step 2: Convert to fraction form
    399,548.31/551,393.43 = 229,782.57/x
  3. Step 3: Cross multiply
    399,548.31x = 551,393.43 × 229,782.57
  4. Step 4: Simplify right side
    399,548.31x = 126,700,598,277.60
  5. Step 5: Solve for x
    x = 126,700,598,277.60/399,548.31
  6. Step 6: Final answer
    x = 317,109.58

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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.