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Finding the Fourth Proportional to 399,203.88, 550,939.14 and 229,537.32

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Solution

The fourth proportional to 399,203.88, 550,939.14 and 229,537.32 is: 316,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,203.88 : 550,939.14 = 229,537.32 : x
  2. Step 2: Convert to fraction form
    399,203.88/550,939.14 = 229,537.32/x
  3. Step 3: Cross multiply
    399,203.88x = 550,939.14 × 229,537.32
  4. Step 4: Simplify right side
    399,203.88x = 126,461,093,678.71
  5. Step 5: Solve for x
    x = 126,461,093,678.71/399,203.88
  6. Step 6: Final answer
    x = 316,783.23

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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.