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Finding the Fourth Proportional to 399,071.78, 550,714.34 and 217,786.79

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Solution

The fourth proportional to 399,071.78, 550,714.34 and 217,786.79 is: 300,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,071.78 : 550,714.34 = 217,786.79 : x
  2. Step 2: Convert to fraction form
    399,071.78/550,714.34 = 217,786.79/x
  3. Step 3: Cross multiply
    399,071.78x = 550,714.34 × 217,786.79
  4. Step 4: Simplify right side
    399,071.78x = 119,938,308,315.57
  5. Step 5: Solve for x
    x = 119,938,308,315.57/399,071.78
  6. Step 6: Final answer
    x = 300,543.20

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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.