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Finding the Fourth Proportional to 421,671.11, 632,506.15 and 137,361.19

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Solution

The fourth proportional to 421,671.11, 632,506.15 and 137,361.19 is: 206,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,671.11 : 632,506.15 = 137,361.19 : x
  2. Step 2: Convert to fraction form
    421,671.11/632,506.15 = 137,361.19/x
  3. Step 3: Cross multiply
    421,671.11x = 632,506.15 × 137,361.19
  4. Step 4: Simplify right side
    421,671.11x = 86,881,797,438.34
  5. Step 5: Solve for x
    x = 86,881,797,438.34/421,671.11
  6. Step 6: Final answer
    x = 206,041.62

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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.