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Finding the Fourth Proportional to 208,889.28, 288,264.24 and 113,399.64

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Solution

The fourth proportional to 208,889.28, 288,264.24 and 113,399.64 is: 156,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,889.28 : 288,264.24 = 113,399.64 : x
  2. Step 2: Convert to fraction form
    208,889.28/288,264.24 = 113,399.64/x
  3. Step 3: Cross multiply
    208,889.28x = 288,264.24 × 113,399.64
  4. Step 4: Simplify right side
    208,889.28x = 32,689,061,040.87
  5. Step 5: Solve for x
    x = 32,689,061,040.87/208,889.28
  6. Step 6: Final answer
    x = 156,489.89

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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.