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Finding the Fourth Proportional to 288,475.53, 398,015.17 and 165,961.50

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Solution

The fourth proportional to 288,475.53, 398,015.17 and 165,961.50 is: 228,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,475.53 : 398,015.17 = 165,961.50 : x
  2. Step 2: Convert to fraction form
    288,475.53/398,015.17 = 165,961.50/x
  3. Step 3: Cross multiply
    288,475.53x = 398,015.17 × 165,961.50
  4. Step 4: Simplify right side
    288,475.53x = 66,055,194,221.05
  5. Step 5: Solve for x
    x = 66,055,194,221.05/288,475.53
  6. Step 6: Final answer
    x = 228,980.23

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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.