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Finding the Fourth Proportional to 306,609.95, 459,879.82 and 81,987.89

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Solution

The fourth proportional to 306,609.95, 459,879.82 and 81,987.89 is: 122,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,609.95 : 459,879.82 = 81,987.89 : x
  2. Step 2: Convert to fraction form
    306,609.95/459,879.82 = 81,987.89/x
  3. Step 3: Cross multiply
    306,609.95x = 459,879.82 × 81,987.89
  4. Step 4: Simplify right side
    306,609.95x = 37,704,573,591.01
  5. Step 5: Solve for x
    x = 37,704,573,591.01/306,609.95
  6. Step 6: Final answer
    x = 122,972.44

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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.