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Finding the Fourth Proportional to 275,825.92, 380,656 and 207,722.80

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Solution

The fourth proportional to 275,825.92, 380,656 and 207,722.80 is: 286,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,825.92 : 380,656 = 207,722.80 : x
  2. Step 2: Convert to fraction form
    275,825.92/380,656 = 207,722.80/x
  3. Step 3: Cross multiply
    275,825.92x = 380,656 × 207,722.80
  4. Step 4: Simplify right side
    275,825.92x = 79,070,930,156.80
  5. Step 5: Solve for x
    x = 79,070,930,156.80/275,825.92
  6. Step 6: Final answer
    x = 286,669.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.