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Finding the Fourth Proportional to 503,549.78, 694,913.22 and 274,121.93

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Solution

The fourth proportional to 503,549.78, 694,913.22 and 274,121.93 is: 378,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,549.78 : 694,913.22 = 274,121.93 : x
  2. Step 2: Convert to fraction form
    503,549.78/694,913.22 = 274,121.93/x
  3. Step 3: Cross multiply
    503,549.78x = 694,913.22 × 274,121.93
  4. Step 4: Simplify right side
    503,549.78x = 190,490,953,048.92
  5. Step 5: Solve for x
    x = 190,490,953,048.92/503,549.78
  6. Step 6: Final answer
    x = 378,296.17

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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.