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Finding the Fourth Proportional to 280,908.20, 421,404.30 and 103,401.68

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Solution

The fourth proportional to 280,908.20, 421,404.30 and 103,401.68 is: 155,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,908.20 : 421,404.30 = 103,401.68 : x
  2. Step 2: Convert to fraction form
    280,908.20/421,404.30 = 103,401.68/x
  3. Step 3: Cross multiply
    280,908.20x = 421,404.30 × 103,401.68
  4. Step 4: Simplify right side
    280,908.20x = 43,573,912,579.22
  5. Step 5: Solve for x
    x = 43,573,912,579.22/280,908.20
  6. Step 6: Final answer
    x = 155,117.98

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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.