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Finding the Fourth Proportional to 280,837.80, 421,256.70 and 202,105.80

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Solution

The fourth proportional to 280,837.80, 421,256.70 and 202,105.80 is: 303,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,837.80 : 421,256.70 = 202,105.80 : x
  2. Step 2: Convert to fraction form
    280,837.80/421,256.70 = 202,105.80/x
  3. Step 3: Cross multiply
    280,837.80x = 421,256.70 × 202,105.80
  4. Step 4: Simplify right side
    280,837.80x = 85,138,422,358.86
  5. Step 5: Solve for x
    x = 85,138,422,358.86/280,837.80
  6. Step 6: Final answer
    x = 303,158.70

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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.