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Finding the Fourth Proportional to 306,405.63, 459,608.49 and 81,766.89

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Solution

The fourth proportional to 306,405.63, 459,608.49 and 81,766.89 is: 122,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,405.63 : 459,608.49 = 81,766.89 : x
  2. Step 2: Convert to fraction form
    306,405.63/459,608.49 = 81,766.89/x
  3. Step 3: Cross multiply
    306,405.63x = 459,608.49 × 81,766.89
  4. Step 4: Simplify right side
    306,405.63x = 37,580,756,844.90
  5. Step 5: Solve for x
    x = 37,580,756,844.90/306,405.63
  6. Step 6: Final answer
    x = 122,650.35

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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.