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Finding the Fourth Proportional to 421,617.98, 632,471.27 and 137,330.69

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Solution

The fourth proportional to 421,617.98, 632,471.27 and 137,330.69 is: 206,010.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,617.98 : 632,471.27 = 137,330.69 : x
  2. Step 2: Convert to fraction form
    421,617.98/632,471.27 = 137,330.69/x
  3. Step 3: Cross multiply
    421,617.98x = 632,471.27 × 137,330.69
  4. Step 4: Simplify right side
    421,617.98x = 86,857,716,395.40
  5. Step 5: Solve for x
    x = 86,857,716,395.40/421,617.98
  6. Step 6: Final answer
    x = 206,010.47

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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.