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Finding the Fourth Proportional to 235,079.28, 324,502 and 158,643.64

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Solution

The fourth proportional to 235,079.28, 324,502 and 158,643.64 is: 218,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,079.28 : 324,502 = 158,643.64 : x
  2. Step 2: Convert to fraction form
    235,079.28/324,502 = 158,643.64/x
  3. Step 3: Cross multiply
    235,079.28x = 324,502 × 158,643.64
  4. Step 4: Simplify right side
    235,079.28x = 51,480,178,467.28
  5. Step 5: Solve for x
    x = 51,480,178,467.28/235,079.28
  6. Step 6: Final answer
    x = 218,990.71

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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.