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Finding the Fourth Proportional to 296,699.36, 409,679.78 and 274,029.28

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Solution

The fourth proportional to 296,699.36, 409,679.78 and 274,029.28 is: 378,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,699.36 : 409,679.78 = 274,029.28 : x
  2. Step 2: Convert to fraction form
    296,699.36/409,679.78 = 274,029.28/x
  3. Step 3: Cross multiply
    296,699.36x = 409,679.78 × 274,029.28
  4. Step 4: Simplify right side
    296,699.36x = 112,264,252,749.61
  5. Step 5: Solve for x
    x = 112,264,252,749.61/296,699.36
  6. Step 6: Final answer
    x = 378,377.14

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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.