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Finding the Fourth Proportional to 421,309.10, 631,957.50 and 137,012.73

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Solution

The fourth proportional to 421,309.10, 631,957.50 and 137,012.73 is: 205,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,309.10 : 631,957.50 = 137,012.73 : x
  2. Step 2: Convert to fraction form
    421,309.10/631,957.50 = 137,012.73/x
  3. Step 3: Cross multiply
    421,309.10x = 631,957.50 × 137,012.73
  4. Step 4: Simplify right side
    421,309.10x = 86,586,222,318.98
  5. Step 5: Solve for x
    x = 86,586,222,318.98/421,309.10
  6. Step 6: Final answer
    x = 205,517.10

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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.