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Finding the Fourth Proportional to 288,516.60, 431,997.30 and 209,201.40

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Solution

The fourth proportional to 288,516.60, 431,997.30 and 209,201.40 is: 313,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,516.60 : 431,997.30 = 209,201.40 : x
  2. Step 2: Convert to fraction form
    288,516.60/431,997.30 = 209,201.40/x
  3. Step 3: Cross multiply
    288,516.60x = 431,997.30 × 209,201.40
  4. Step 4: Simplify right side
    288,516.60x = 90,374,439,956.22
  5. Step 5: Solve for x
    x = 90,374,439,956.22/288,516.60
  6. Step 6: Final answer
    x = 313,238.27

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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.