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Finding the Fourth Proportional to 421,806.74, 632,776.09 and 137,431.28

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Solution

The fourth proportional to 421,806.74, 632,776.09 and 137,431.28 is: 206,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,806.74 : 632,776.09 = 137,431.28 : x
  2. Step 2: Convert to fraction form
    421,806.74/632,776.09 = 137,431.28/x
  3. Step 3: Cross multiply
    421,806.74x = 632,776.09 × 137,431.28
  4. Step 4: Simplify right side
    421,806.74x = 86,963,224,838.21
  5. Step 5: Solve for x
    x = 86,963,224,838.21/421,806.74
  6. Step 6: Final answer
    x = 206,168.41

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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.