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Finding the Fourth Proportional to 399,034.83, 550,650.93 and 217,742.25

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Solution

The fourth proportional to 399,034.83, 550,650.93 and 217,742.25 is: 300,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,034.83 : 550,650.93 = 217,742.25 : x
  2. Step 2: Convert to fraction form
    399,034.83/550,650.93 = 217,742.25/x
  3. Step 3: Cross multiply
    399,034.83x = 550,650.93 × 217,742.25
  4. Step 4: Simplify right side
    399,034.83x = 119,899,972,462.79
  5. Step 5: Solve for x
    x = 119,899,972,462.79/399,034.83
  6. Step 6: Final answer
    x = 300,474.95

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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.