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Finding the Fourth Proportional to 407,500.80, 611,309.58 and 127,039.92

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Solution

The fourth proportional to 407,500.80, 611,309.58 and 127,039.92 is: 190,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,500.80 : 611,309.58 = 127,039.92 : x
  2. Step 2: Convert to fraction form
    407,500.80/611,309.58 = 127,039.92/x
  3. Step 3: Cross multiply
    407,500.80x = 611,309.58 × 127,039.92
  4. Step 4: Simplify right side
    407,500.80x = 77,660,720,138.43
  5. Step 5: Solve for x
    x = 77,660,720,138.43/407,500.80
  6. Step 6: Final answer
    x = 190,578.08

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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.