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Finding the Fourth Proportional to 421,669.97, 632,570.72 and 137,293.38

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Solution

The fourth proportional to 421,669.97, 632,570.72 and 137,293.38 is: 205,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,669.97 : 632,570.72 = 137,293.38 : x
  2. Step 2: Convert to fraction form
    421,669.97/632,570.72 = 137,293.38/x
  3. Step 3: Cross multiply
    421,669.97x = 632,570.72 × 137,293.38
  4. Step 4: Simplify right side
    421,669.97x = 86,847,771,551.37
  5. Step 5: Solve for x
    x = 86,847,771,551.37/421,669.97
  6. Step 6: Final answer
    x = 205,961.48

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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.