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Finding the Fourth Proportional to 299,790.28, 413,734.17 and 170,734.21

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Solution

The fourth proportional to 299,790.28, 413,734.17 and 170,734.21 is: 235,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,790.28 : 413,734.17 = 170,734.21 : x
  2. Step 2: Convert to fraction form
    299,790.28/413,734.17 = 170,734.21/x
  3. Step 3: Cross multiply
    299,790.28x = 413,734.17 × 170,734.21
  4. Step 4: Simplify right side
    299,790.28x = 70,638,576,664.96
  5. Step 5: Solve for x
    x = 70,638,576,664.96/299,790.28
  6. Step 6: Final answer
    x = 235,626.64

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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.