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Finding the Fourth Proportional to 280,425.50, 419,967.68 and 161,737.01

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Solution

The fourth proportional to 280,425.50, 419,967.68 and 161,737.01 is: 242,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,425.50 : 419,967.68 = 161,737.01 : x
  2. Step 2: Convert to fraction form
    280,425.50/419,967.68 = 161,737.01/x
  3. Step 3: Cross multiply
    280,425.50x = 419,967.68 × 161,737.01
  4. Step 4: Simplify right side
    280,425.50x = 67,924,317,101.07
  5. Step 5: Solve for x
    x = 67,924,317,101.07/280,425.50
  6. Step 6: Final answer
    x = 242,218.76

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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.