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Finding the Fourth Proportional to 280,116.05, 420,280.24 and 167,876.82

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Solution

The fourth proportional to 280,116.05, 420,280.24 and 167,876.82 is: 251,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,116.05 : 420,280.24 = 167,876.82 : x
  2. Step 2: Convert to fraction form
    280,116.05/420,280.24 = 167,876.82/x
  3. Step 3: Cross multiply
    280,116.05x = 420,280.24 × 167,876.82
  4. Step 4: Simplify right side
    280,116.05x = 70,555,311,985.93
  5. Step 5: Solve for x
    x = 70,555,311,985.93/280,116.05
  6. Step 6: Final answer
    x = 251,878.86

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1.5x scale

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.