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Finding the Fourth Proportional to 355,649.22, 490,974.33 and 274,894.38

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Solution

The fourth proportional to 355,649.22, 490,974.33 and 274,894.38 is: 379,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,649.22 : 490,974.33 = 274,894.38 : x
  2. Step 2: Convert to fraction form
    355,649.22/490,974.33 = 274,894.38/x
  3. Step 3: Cross multiply
    355,649.22x = 490,974.33 × 274,894.38
  4. Step 4: Simplify right side
    355,649.22x = 134,966,084,041.27
  5. Step 5: Solve for x
    x = 134,966,084,041.27/355,649.22
  6. Step 6: Final answer
    x = 379,492.14

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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.