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Finding the Fourth Proportional to 288,071.28, 397,474.56 and 167,142.48

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Solution

The fourth proportional to 288,071.28, 397,474.56 and 167,142.48 is: 230,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,071.28 : 397,474.56 = 167,142.48 : x
  2. Step 2: Convert to fraction form
    288,071.28/397,474.56 = 167,142.48/x
  3. Step 3: Cross multiply
    288,071.28x = 397,474.56 × 167,142.48
  4. Step 4: Simplify right side
    288,071.28x = 66,434,883,695.31
  5. Step 5: Solve for x
    x = 66,434,883,695.31/288,071.28
  6. Step 6: Final answer
    x = 230,619.60

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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.