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Finding the Fourth Proportional to 280,691.28, 421,336.52 and 120,846.32

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Solution

The fourth proportional to 280,691.28, 421,336.52 and 120,846.32 is: 181,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,691.28 : 421,336.52 = 120,846.32 : x
  2. Step 2: Convert to fraction form
    280,691.28/421,336.52 = 120,846.32/x
  3. Step 3: Cross multiply
    280,691.28x = 421,336.52 × 120,846.32
  4. Step 4: Simplify right side
    280,691.28x = 50,916,967,923.61
  5. Step 5: Solve for x
    x = 50,916,967,923.61/280,691.28
  6. Step 6: Final answer
    x = 181,398.47

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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.