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Finding the Fourth Proportional to 421,517.55, 632,117.63 and 137,133.71

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Solution

The fourth proportional to 421,517.55, 632,117.63 and 137,133.71 is: 205,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,517.55 : 632,117.63 = 137,133.71 : x
  2. Step 2: Convert to fraction form
    421,517.55/632,117.63 = 137,133.71/x
  3. Step 3: Cross multiply
    421,517.55x = 632,117.63 × 137,133.71
  4. Step 4: Simplify right side
    421,517.55x = 86,684,631,912.05
  5. Step 5: Solve for x
    x = 86,684,631,912.05/421,517.55
  6. Step 6: Final answer
    x = 205,648.93

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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.