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Finding the Fourth Proportional to 312,203.25, 430,840.49 and 168,964.34

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Solution

The fourth proportional to 312,203.25, 430,840.49 and 168,964.34 is: 233,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,203.25 : 430,840.49 = 168,964.34 : x
  2. Step 2: Convert to fraction form
    312,203.25/430,840.49 = 168,964.34/x
  3. Step 3: Cross multiply
    312,203.25x = 430,840.49 × 168,964.34
  4. Step 4: Simplify right side
    312,203.25x = 72,796,676,039.10
  5. Step 5: Solve for x
    x = 72,796,676,039.10/312,203.25
  6. Step 6: Final answer
    x = 233,170.78

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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.