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Finding the Fourth Proportional to 407,727.88, 611,807.78 and 296,327.57

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Solution

The fourth proportional to 407,727.88, 611,807.78 and 296,327.57 is: 444,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,727.88 : 611,807.78 = 296,327.57 : x
  2. Step 2: Convert to fraction form
    407,727.88/611,807.78 = 296,327.57/x
  3. Step 3: Cross multiply
    407,727.88x = 611,807.78 × 296,327.57
  4. Step 4: Simplify right side
    407,727.88x = 181,295,510,436.28
  5. Step 5: Solve for x
    x = 181,295,510,436.28/407,727.88
  6. Step 6: Final answer
    x = 444,648.31

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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.