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Finding the Fourth Proportional to 280,058.64, 419,963.76 and 80,333.52

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Solution

The fourth proportional to 280,058.64, 419,963.76 and 80,333.52 is: 120,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,058.64 : 419,963.76 = 80,333.52 : x
  2. Step 2: Convert to fraction form
    280,058.64/419,963.76 = 80,333.52/x
  3. Step 3: Cross multiply
    280,058.64x = 419,963.76 × 80,333.52
  4. Step 4: Simplify right side
    280,058.64x = 33,737,167,113.24
  5. Step 5: Solve for x
    x = 33,737,167,113.24/280,058.64
  6. Step 6: Final answer
    x = 120,464.65

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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.