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Finding the Fourth Proportional to 280,380.13, 420,466.29 and 100,437.51

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Solution

The fourth proportional to 280,380.13, 420,466.29 and 100,437.51 is: 150,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,380.13 : 420,466.29 = 100,437.51 : x
  2. Step 2: Convert to fraction form
    280,380.13/420,466.29 = 100,437.51/x
  3. Step 3: Cross multiply
    280,380.13x = 420,466.29 × 100,437.51
  4. Step 4: Simplify right side
    280,380.13x = 42,230,587,206.54
  5. Step 5: Solve for x
    x = 42,230,587,206.54/280,380.13
  6. Step 6: Final answer
    x = 150,619.04

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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.