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Finding the Fourth Proportional to 306,758.88, 459,924.84 and 135,887.80

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Solution

The fourth proportional to 306,758.88, 459,924.84 and 135,887.80 is: 203,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,758.88 : 459,924.84 = 135,887.80 : x
  2. Step 2: Convert to fraction form
    306,758.88/459,924.84 = 135,887.80/x
  3. Step 3: Cross multiply
    306,758.88x = 459,924.84 × 135,887.80
  4. Step 4: Simplify right side
    306,758.88x = 62,498,174,672.95
  5. Step 5: Solve for x
    x = 62,498,174,672.95/306,758.88
  6. Step 6: Final answer
    x = 203,737.13

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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.