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Finding the Fourth Proportional to 424,484.70, 636,645.75 and 164,822.28

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Solution

The fourth proportional to 424,484.70, 636,645.75 and 164,822.28 is: 247,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,484.70 : 636,645.75 = 164,822.28 : x
  2. Step 2: Convert to fraction form
    424,484.70/636,645.75 = 164,822.28/x
  3. Step 3: Cross multiply
    424,484.70x = 636,645.75 × 164,822.28
  4. Step 4: Simplify right side
    424,484.70x = 104,933,404,067.31
  5. Step 5: Solve for x
    x = 104,933,404,067.31/424,484.70
  6. Step 6: Final answer
    x = 247,201.85

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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.