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Finding the Fourth Proportional to 280,379.40, 420,465.21 and 100,436.80

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Solution

The fourth proportional to 280,379.40, 420,465.21 and 100,436.80 is: 150,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,379.40 : 420,465.21 = 100,436.80 : x
  2. Step 2: Convert to fraction form
    280,379.40/420,465.21 = 100,436.80/x
  3. Step 3: Cross multiply
    280,379.40x = 420,465.21 × 100,436.80
  4. Step 4: Simplify right side
    280,379.40x = 42,230,180,203.73
  5. Step 5: Solve for x
    x = 42,230,180,203.73/280,379.40
  6. Step 6: Final answer
    x = 150,617.98

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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.