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Finding the Fourth Proportional to 306,610.80, 459,934.64 and 129,131.64

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Solution

The fourth proportional to 306,610.80, 459,934.64 and 129,131.64 is: 193,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,610.80 : 459,934.64 = 129,131.64 : x
  2. Step 2: Convert to fraction form
    306,610.80/459,934.64 = 129,131.64/x
  3. Step 3: Cross multiply
    306,610.80x = 459,934.64 × 129,131.64
  4. Step 4: Simplify right side
    306,610.80x = 59,392,112,056.34
  5. Step 5: Solve for x
    x = 59,392,112,056.34/306,610.80
  6. Step 6: Final answer
    x = 193,705.22

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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.