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Finding the Fourth Proportional to 291,062.96, 436,446.50 and 133,156.08

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Solution

The fourth proportional to 291,062.96, 436,446.50 and 133,156.08 is: 199,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,062.96 : 436,446.50 = 133,156.08 : x
  2. Step 2: Convert to fraction form
    291,062.96/436,446.50 = 133,156.08/x
  3. Step 3: Cross multiply
    291,062.96x = 436,446.50 × 133,156.08
  4. Step 4: Simplify right side
    291,062.96x = 58,115,504,403.94
  5. Step 5: Solve for x
    x = 58,115,504,403.94/291,062.96
  6. Step 6: Final answer
    x = 199,666.44

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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.