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Finding the Fourth Proportional to 399,091.54, 550,747.98 and 217,807.30

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Solution

The fourth proportional to 399,091.54, 550,747.98 and 217,807.30 is: 300,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,091.54 : 550,747.98 = 217,807.30 : x
  2. Step 2: Convert to fraction form
    399,091.54/550,747.98 = 217,807.30/x
  3. Step 3: Cross multiply
    399,091.54x = 550,747.98 × 217,807.30
  4. Step 4: Simplify right side
    399,091.54x = 119,956,930,504.25
  5. Step 5: Solve for x
    x = 119,956,930,504.25/399,091.54
  6. Step 6: Final answer
    x = 300,574.98

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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.