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Finding the Fourth Proportional to 259,220.17, 357,824.15 and 202,649.77

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Solution

The fourth proportional to 259,220.17, 357,824.15 and 202,649.77 is: 279,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,220.17 : 357,824.15 = 202,649.77 : x
  2. Step 2: Convert to fraction form
    259,220.17/357,824.15 = 202,649.77/x
  3. Step 3: Cross multiply
    259,220.17x = 357,824.15 × 202,649.77
  4. Step 4: Simplify right side
    259,220.17x = 72,512,981,697.95
  5. Step 5: Solve for x
    x = 72,512,981,697.95/259,220.17
  6. Step 6: Final answer
    x = 279,735.11

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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.