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Finding the Fourth Proportional to 231,047.81, 319,284.40 and 166,728.14

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Solution

The fourth proportional to 231,047.81, 319,284.40 and 166,728.14 is: 230,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,047.81 : 319,284.40 = 166,728.14 : x
  2. Step 2: Convert to fraction form
    231,047.81/319,284.40 = 166,728.14/x
  3. Step 3: Cross multiply
    231,047.81x = 319,284.40 × 166,728.14
  4. Step 4: Simplify right side
    231,047.81x = 53,233,692,546.59
  5. Step 5: Solve for x
    x = 53,233,692,546.59/231,047.81
  6. Step 6: Final answer
    x = 230,401.20

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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.