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Finding the Fourth Proportional to 312,189.32, 430,822.32 and 168,949.32

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Solution

The fourth proportional to 312,189.32, 430,822.32 and 168,949.32 is: 233,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,189.32 : 430,822.32 = 168,949.32 : x
  2. Step 2: Convert to fraction form
    312,189.32/430,822.32 = 168,949.32/x
  3. Step 3: Cross multiply
    312,189.32x = 430,822.32 × 168,949.32
  4. Step 4: Simplify right side
    312,189.32x = 72,787,138,004.82
  5. Step 5: Solve for x
    x = 72,787,138,004.82/312,189.32
  6. Step 6: Final answer
    x = 233,150.63

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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.