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Finding the Fourth Proportional to 315,724.75, 435,720.26 and 179,770.57

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Solution

The fourth proportional to 315,724.75, 435,720.26 and 179,770.57 is: 248,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,724.75 : 435,720.26 = 179,770.57 : x
  2. Step 2: Convert to fraction form
    315,724.75/435,720.26 = 179,770.57/x
  3. Step 3: Cross multiply
    315,724.75x = 435,720.26 × 179,770.57
  4. Step 4: Simplify right side
    315,724.75x = 78,329,679,500.75
  5. Step 5: Solve for x
    x = 78,329,679,500.75/315,724.75
  6. Step 6: Final answer
    x = 248,094.83

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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.