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Finding the Fourth Proportional to 397,402.80, 596,104.20 and 271,431.60

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Solution

The fourth proportional to 397,402.80, 596,104.20 and 271,431.60 is: 407,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,402.80 : 596,104.20 = 271,431.60 : x
  2. Step 2: Convert to fraction form
    397,402.80/596,104.20 = 271,431.60/x
  3. Step 3: Cross multiply
    397,402.80x = 596,104.20 × 271,431.60
  4. Step 4: Simplify right side
    397,402.80x = 161,801,516,772.72
  5. Step 5: Solve for x
    x = 161,801,516,772.72/397,402.80
  6. Step 6: Final answer
    x = 407,147.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.