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Finding the Fourth Proportional to 291,209.10, 436,813.65 and 231,722.70

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Solution

The fourth proportional to 291,209.10, 436,813.65 and 231,722.70 is: 347,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,209.10 : 436,813.65 = 231,722.70 : x
  2. Step 2: Convert to fraction form
    291,209.10/436,813.65 = 231,722.70/x
  3. Step 3: Cross multiply
    291,209.10x = 436,813.65 × 231,722.70
  4. Step 4: Simplify right side
    291,209.10x = 101,219,638,374.86
  5. Step 5: Solve for x
    x = 101,219,638,374.86/291,209.10
  6. Step 6: Final answer
    x = 347,584.05

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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.