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Finding the Fourth Proportional to 312,188.54, 430,820.94 and 168,949.62

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Solution

The fourth proportional to 312,188.54, 430,820.94 and 168,949.62 is: 233,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,188.54 : 430,820.94 = 168,949.62 : x
  2. Step 2: Convert to fraction form
    312,188.54/430,820.94 = 168,949.62/x
  3. Step 3: Cross multiply
    312,188.54x = 430,820.94 × 168,949.62
  4. Step 4: Simplify right side
    312,188.54x = 72,787,034,101.04
  5. Step 5: Solve for x
    x = 72,787,034,101.04/312,188.54
  6. Step 6: Final answer
    x = 233,150.89

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1.5x scale

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.