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Finding the Fourth Proportional to 500,906.84, 691,279.72 and 297,078.44

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Solution

The fourth proportional to 500,906.84, 691,279.72 and 297,078.44 is: 409,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,906.84 : 691,279.72 = 297,078.44 : x
  2. Step 2: Convert to fraction form
    500,906.84/691,279.72 = 297,078.44/x
  3. Step 3: Cross multiply
    500,906.84x = 691,279.72 × 297,078.44
  4. Step 4: Simplify right side
    500,906.84x = 205,364,296,622.14
  5. Step 5: Solve for x
    x = 205,364,296,622.14/500,906.84
  6. Step 6: Final answer
    x = 409,985.02

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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.