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Finding the Fourth Proportional to 287,522.68, 396,782.90 and 166,735.66

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Solution

The fourth proportional to 287,522.68, 396,782.90 and 166,735.66 is: 230,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,522.68 : 396,782.90 = 166,735.66 : x
  2. Step 2: Convert to fraction form
    287,522.68/396,782.90 = 166,735.66/x
  3. Step 3: Cross multiply
    287,522.68x = 396,782.90 × 166,735.66
  4. Step 4: Simplify right side
    287,522.68x = 66,157,858,133.10
  5. Step 5: Solve for x
    x = 66,157,858,133.10/287,522.68
  6. Step 6: Final answer
    x = 230,096.14

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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.