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Finding the Fourth Proportional to 291,381.86, 436,731.75 and 111,349.40

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Solution

The fourth proportional to 291,381.86, 436,731.75 and 111,349.40 is: 166,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,381.86 : 436,731.75 = 111,349.40 : x
  2. Step 2: Convert to fraction form
    291,381.86/436,731.75 = 111,349.40/x
  3. Step 3: Cross multiply
    291,381.86x = 436,731.75 × 111,349.40
  4. Step 4: Simplify right side
    291,381.86x = 48,629,816,139.79
  5. Step 5: Solve for x
    x = 48,629,816,139.79/291,381.86
  6. Step 6: Final answer
    x = 166,893.77

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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.