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Finding the Fourth Proportional to 407,882.58, 611,911.26 and 171,088.80

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Solution

The fourth proportional to 407,882.58, 611,911.26 and 171,088.80 is: 256,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,882.58 : 611,911.26 = 171,088.80 : x
  2. Step 2: Convert to fraction form
    407,882.58/611,911.26 = 171,088.80/x
  3. Step 3: Cross multiply
    407,882.58x = 611,911.26 × 171,088.80
  4. Step 4: Simplify right side
    407,882.58x = 104,691,163,179.89
  5. Step 5: Solve for x
    x = 104,691,163,179.89/407,882.58
  6. Step 6: Final answer
    x = 256,669.86

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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.