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Finding the Fourth Proportional to 399,126.78, 550,784.34 and 217,840.95

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Solution

The fourth proportional to 399,126.78, 550,784.34 and 217,840.95 is: 300,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,126.78 : 550,784.34 = 217,840.95 : x
  2. Step 2: Convert to fraction form
    399,126.78/550,784.34 = 217,840.95/x
  3. Step 3: Cross multiply
    399,126.78x = 550,784.34 × 217,840.95
  4. Step 4: Simplify right side
    399,126.78x = 119,983,383,870.72
  5. Step 5: Solve for x
    x = 119,983,383,870.72/399,126.78
  6. Step 6: Final answer
    x = 300,614.72

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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.