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Finding the Fourth Proportional to 415,267.71, 622,415.64 and 190,649.83

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Solution

The fourth proportional to 415,267.71, 622,415.64 and 190,649.83 is: 285,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,267.71 : 622,415.64 = 190,649.83 : x
  2. Step 2: Convert to fraction form
    415,267.71/622,415.64 = 190,649.83/x
  3. Step 3: Cross multiply
    415,267.71x = 622,415.64 × 190,649.83
  4. Step 4: Simplify right side
    415,267.71x = 118,663,434,530.72
  5. Step 5: Solve for x
    x = 118,663,434,530.72/415,267.71
  6. Step 6: Final answer
    x = 285,751.65

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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.