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Finding the Fourth Proportional to 280,625.89, 421,104.91 and 103,257.46

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Solution

The fourth proportional to 280,625.89, 421,104.91 and 103,257.46 is: 154,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,625.89 : 421,104.91 = 103,257.46 : x
  2. Step 2: Convert to fraction form
    280,625.89/421,104.91 = 103,257.46/x
  3. Step 3: Cross multiply
    280,625.89x = 421,104.91 × 103,257.46
  4. Step 4: Simplify right side
    280,625.89x = 43,482,221,493.26
  5. Step 5: Solve for x
    x = 43,482,221,493.26/280,625.89
  6. Step 6: Final answer
    x = 154,947.29

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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.