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Finding the Fourth Proportional to 251,408.84, 347,017.76 and 149,506.12

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Solution

The fourth proportional to 251,408.84, 347,017.76 and 149,506.12 is: 206,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,408.84 : 347,017.76 = 149,506.12 : x
  2. Step 2: Convert to fraction form
    251,408.84/347,017.76 = 149,506.12/x
  3. Step 3: Cross multiply
    251,408.84x = 347,017.76 × 149,506.12
  4. Step 4: Simplify right side
    251,408.84x = 51,881,278,868.69
  5. Step 5: Solve for x
    x = 51,881,278,868.69/251,408.84
  6. Step 6: Final answer
    x = 206,362.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.