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Finding the Fourth Proportional to 291,909.20, 436,942.20 and 282,693.20

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Solution

The fourth proportional to 291,909.20, 436,942.20 and 282,693.20 is: 423,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,909.20 : 436,942.20 = 282,693.20 : x
  2. Step 2: Convert to fraction form
    291,909.20/436,942.20 = 282,693.20/x
  3. Step 3: Cross multiply
    291,909.20x = 436,942.20 × 282,693.20
  4. Step 4: Simplify right side
    291,909.20x = 123,520,588,733.04
  5. Step 5: Solve for x
    x = 123,520,588,733.04/291,909.20
  6. Step 6: Final answer
    x = 423,147.30

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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.