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Finding the Fourth Proportional to 490,575.52, 676,490.16 and 409,972.96

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Solution

The fourth proportional to 490,575.52, 676,490.16 and 409,972.96 is: 565,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,575.52 : 676,490.16 = 409,972.96 : x
  2. Step 2: Convert to fraction form
    490,575.52/676,490.16 = 409,972.96/x
  3. Step 3: Cross multiply
    490,575.52x = 676,490.16 × 409,972.96
  4. Step 4: Simplify right side
    490,575.52x = 277,342,673,306.07
  5. Step 5: Solve for x
    x = 277,342,673,306.07/490,575.52
  6. Step 6: Final answer
    x = 565,341.44

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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.