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Finding the Fourth Proportional to 407,284.96, 611,015.76 and 170,505.76

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Solution

The fourth proportional to 407,284.96, 611,015.76 and 170,505.76 is: 255,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,284.96 : 611,015.76 = 170,505.76 : x
  2. Step 2: Convert to fraction form
    407,284.96/611,015.76 = 170,505.76/x
  3. Step 3: Cross multiply
    407,284.96x = 611,015.76 × 170,505.76
  4. Step 4: Simplify right side
    407,284.96x = 104,181,706,530.78
  5. Step 5: Solve for x
    x = 104,181,706,530.78/407,284.96
  6. Step 6: Final answer
    x = 255,795.61

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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.