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Finding the Fourth Proportional to 291,114.20, 436,523.60 and 133,207.32

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Solution

The fourth proportional to 291,114.20, 436,523.60 and 133,207.32 is: 199,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,114.20 : 436,523.60 = 133,207.32 : x
  2. Step 2: Convert to fraction form
    291,114.20/436,523.60 = 133,207.32/x
  3. Step 3: Cross multiply
    291,114.20x = 436,523.60 × 133,207.32
  4. Step 4: Simplify right side
    291,114.20x = 58,148,138,872.75
  5. Step 5: Solve for x
    x = 58,148,138,872.75/291,114.20
  6. Step 6: Final answer
    x = 199,743.40

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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.