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Finding the Fourth Proportional to 291,209.52, 436,814.10 and 80,847.40

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Solution

The fourth proportional to 291,209.52, 436,814.10 and 80,847.40 is: 121,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,209.52 : 436,814.10 = 80,847.40 : x
  2. Step 2: Convert to fraction form
    291,209.52/436,814.10 = 80,847.40/x
  3. Step 3: Cross multiply
    291,209.52x = 436,814.10 × 80,847.40
  4. Step 4: Simplify right side
    291,209.52x = 35,315,284,268.34
  5. Step 5: Solve for x
    x = 35,315,284,268.34/291,209.52
  6. Step 6: Final answer
    x = 121,271.05

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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.