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Finding the Fourth Proportional to 422,051.07, 633,128.63 and 137,665.59

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Solution

The fourth proportional to 422,051.07, 633,128.63 and 137,665.59 is: 206,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,051.07 : 633,128.63 = 137,665.59 : x
  2. Step 2: Convert to fraction form
    422,051.07/633,128.63 = 137,665.59/x
  3. Step 3: Cross multiply
    422,051.07x = 633,128.63 × 137,665.59
  4. Step 4: Simplify right side
    422,051.07x = 87,160,025,706.51
  5. Step 5: Solve for x
    x = 87,160,025,706.51/422,051.07
  6. Step 6: Final answer
    x = 206,515.35

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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.