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Finding the Fourth Proportional to 409,897, 614,936.34 and 125,626.84

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Solution

The fourth proportional to 409,897, 614,936.34 and 125,626.84 is: 188,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,897 : 614,936.34 = 125,626.84 : x
  2. Step 2: Convert to fraction form
    409,897/614,936.34 = 125,626.84/x
  3. Step 3: Cross multiply
    409,897x = 614,936.34 × 125,626.84
  4. Step 4: Simplify right side
    409,897x = 77,252,509,195.37
  5. Step 5: Solve for x
    x = 77,252,509,195.37/409,897
  6. Step 6: Final answer
    x = 188,468.10

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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.