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Finding the Fourth Proportional to 291,205.80, 436,808.70 and 172,816.20

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Solution

The fourth proportional to 291,205.80, 436,808.70 and 172,816.20 is: 259,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,205.80 : 436,808.70 = 172,816.20 : x
  2. Step 2: Convert to fraction form
    291,205.80/436,808.70 = 172,816.20/x
  3. Step 3: Cross multiply
    291,205.80x = 436,808.70 × 172,816.20
  4. Step 4: Simplify right side
    291,205.80x = 75,487,619,660.94
  5. Step 5: Solve for x
    x = 75,487,619,660.94/291,205.80
  6. Step 6: Final answer
    x = 259,224.30

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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.