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Finding the Fourth Proportional to 291,209.60, 436,814.40 and 231,723.20

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Solution

The fourth proportional to 291,209.60, 436,814.40 and 231,723.20 is: 347,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,209.60 : 436,814.40 = 231,723.20 : x
  2. Step 2: Convert to fraction form
    291,209.60/436,814.40 = 231,723.20/x
  3. Step 3: Cross multiply
    291,209.60x = 436,814.40 × 231,723.20
  4. Step 4: Simplify right side
    291,209.60x = 101,220,030,574.08
  5. Step 5: Solve for x
    x = 101,220,030,574.08/291,209.60
  6. Step 6: Final answer
    x = 347,584.80

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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.