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Finding the Fourth Proportional to 291,253.86, 436,930.58 and 133,495.83

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Solution

The fourth proportional to 291,253.86, 436,930.58 and 133,495.83 is: 200,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,253.86 : 436,930.58 = 133,495.83 : x
  2. Step 2: Convert to fraction form
    291,253.86/436,930.58 = 133,495.83/x
  3. Step 3: Cross multiply
    291,253.86x = 436,930.58 × 133,495.83
  4. Step 4: Simplify right side
    291,253.86x = 58,328,410,763.22
  5. Step 5: Solve for x
    x = 58,328,410,763.22/291,253.86
  6. Step 6: Final answer
    x = 200,266.57

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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.