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Finding the Fourth Proportional to 280,125.30, 419,855.84 and 161,551.84

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Solution

The fourth proportional to 280,125.30, 419,855.84 and 161,551.84 is: 242,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,125.30 : 419,855.84 = 161,551.84 : x
  2. Step 2: Convert to fraction form
    280,125.30/419,855.84 = 161,551.84/x
  3. Step 3: Cross multiply
    280,125.30x = 419,855.84 × 161,551.84
  4. Step 4: Simplify right side
    280,125.30x = 67,828,483,486.75
  5. Step 5: Solve for x
    x = 67,828,483,486.75/280,125.30
  6. Step 6: Final answer
    x = 242,136.23

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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.