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Finding the Fourth Proportional to 399,071.34, 550,713.74 and 217,786.35

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Solution

The fourth proportional to 399,071.34, 550,713.74 and 217,786.35 is: 300,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,071.34 : 550,713.74 = 217,786.35 : x
  2. Step 2: Convert to fraction form
    399,071.34/550,713.74 = 217,786.35/x
  3. Step 3: Cross multiply
    399,071.34x = 550,713.74 × 217,786.35
  4. Step 4: Simplify right side
    399,071.34x = 119,937,936,305.69
  5. Step 5: Solve for x
    x = 119,937,936,305.69/399,071.34
  6. Step 6: Final answer
    x = 300,542.60

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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.