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Finding the Fourth Proportional to 295,280.74, 407,487.28 and 161,144.74

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Solution

The fourth proportional to 295,280.74, 407,487.28 and 161,144.74 is: 222,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,280.74 : 407,487.28 = 161,144.74 : x
  2. Step 2: Convert to fraction form
    295,280.74/407,487.28 = 161,144.74/x
  3. Step 3: Cross multiply
    295,280.74x = 407,487.28 × 161,144.74
  4. Step 4: Simplify right side
    295,280.74x = 65,664,431,788.91
  5. Step 5: Solve for x
    x = 65,664,431,788.91/295,280.74
  6. Step 6: Final answer
    x = 222,379.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.