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Finding the Fourth Proportional to 280,874.87, 387,557.50 and 166,158.35

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Solution

The fourth proportional to 280,874.87, 387,557.50 and 166,158.35 is: 229,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,874.87 : 387,557.50 = 166,158.35 : x
  2. Step 2: Convert to fraction form
    280,874.87/387,557.50 = 166,158.35/x
  3. Step 3: Cross multiply
    280,874.87x = 387,557.50 × 166,158.35
  4. Step 4: Simplify right side
    280,874.87x = 64,395,914,978.91
  5. Step 5: Solve for x
    x = 64,395,914,978.91/280,874.87
  6. Step 6: Final answer
    x = 229,269.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.