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Finding the Fourth Proportional to 421,807.23, 632,776.84 and 137,431.78

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Solution

The fourth proportional to 421,807.23, 632,776.84 and 137,431.78 is: 206,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,807.23 : 632,776.84 = 137,431.78 : x
  2. Step 2: Convert to fraction form
    421,807.23/632,776.84 = 137,431.78/x
  3. Step 3: Cross multiply
    421,807.23x = 632,776.84 × 137,431.78
  4. Step 4: Simplify right side
    421,807.23x = 86,963,647,463.98
  5. Step 5: Solve for x
    x = 86,963,647,463.98/421,807.23
  6. Step 6: Final answer
    x = 206,169.17

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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.