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Finding the Fourth Proportional to 550,154.82, 825,064.05 and 380,467.50

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Solution

The fourth proportional to 550,154.82, 825,064.05 and 380,467.50 is: 570,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,154.82 : 825,064.05 = 380,467.50 : x
  2. Step 2: Convert to fraction form
    550,154.82/825,064.05 = 380,467.50/x
  3. Step 3: Cross multiply
    550,154.82x = 825,064.05 × 380,467.50
  4. Step 4: Simplify right side
    550,154.82x = 313,910,056,443.38
  5. Step 5: Solve for x
    x = 313,910,056,443.38/550,154.82
  6. Step 6: Final answer
    x = 570,584.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.