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Finding the Fourth Proportional to 280,123.70, 420,121.47 and 80,442.50

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Solution

The fourth proportional to 280,123.70, 420,121.47 and 80,442.50 is: 120,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,123.70 : 420,121.47 = 80,442.50 : x
  2. Step 2: Convert to fraction form
    280,123.70/420,121.47 = 80,442.50/x
  3. Step 3: Cross multiply
    280,123.70x = 420,121.47 × 80,442.50
  4. Step 4: Simplify right side
    280,123.70x = 33,795,621,350.48
  5. Step 5: Solve for x
    x = 33,795,621,350.48/280,123.70
  6. Step 6: Final answer
    x = 120,645.35

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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.