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Finding the Fourth Proportional to 280,294.30, 419,457.30 and 191,720.80

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Solution

The fourth proportional to 280,294.30, 419,457.30 and 191,720.80 is: 286,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,294.30 : 419,457.30 = 191,720.80 : x
  2. Step 2: Convert to fraction form
    280,294.30/419,457.30 = 191,720.80/x
  3. Step 3: Cross multiply
    280,294.30x = 419,457.30 × 191,720.80
  4. Step 4: Simplify right side
    280,294.30x = 80,418,689,121.84
  5. Step 5: Solve for x
    x = 80,418,689,121.84/280,294.30
  6. Step 6: Final answer
    x = 286,908.04

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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.