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Finding the Fourth Proportional to 409,896, 614,934.84 and 125,625.84

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Solution

The fourth proportional to 409,896, 614,934.84 and 125,625.84 is: 188,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,896 : 614,934.84 = 125,625.84 : x
  2. Step 2: Convert to fraction form
    409,896/614,934.84 = 125,625.84/x
  3. Step 3: Cross multiply
    409,896x = 614,934.84 × 125,625.84
  4. Step 4: Simplify right side
    409,896x = 77,251,705,820.27
  5. Step 5: Solve for x
    x = 77,251,705,820.27/409,896
  6. Step 6: Final answer
    x = 188,466.60

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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.