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Finding the Fourth Proportional to 280,624.91, 421,103.43 and 103,256.47

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Solution

The fourth proportional to 280,624.91, 421,103.43 and 103,256.47 is: 154,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,624.91 : 421,103.43 = 103,256.47 : x
  2. Step 2: Convert to fraction form
    280,624.91/421,103.43 = 103,256.47/x
  3. Step 3: Cross multiply
    280,624.91x = 421,103.43 × 103,256.47
  4. Step 4: Simplify right side
    280,624.91x = 43,481,654,503.48
  5. Step 5: Solve for x
    x = 43,481,654,503.48/280,624.91
  6. Step 6: Final answer
    x = 154,945.81

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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.