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Finding the Fourth Proportional to 298,981.78, 448,682.82 and 270,396.06

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Solution

The fourth proportional to 298,981.78, 448,682.82 and 270,396.06 is: 405,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,981.78 : 448,682.82 = 270,396.06 : x
  2. Step 2: Convert to fraction form
    298,981.78/448,682.82 = 270,396.06/x
  3. Step 3: Cross multiply
    298,981.78x = 448,682.82 × 270,396.06
  4. Step 4: Simplify right side
    298,981.78x = 121,322,069,708.13
  5. Step 5: Solve for x
    x = 121,322,069,708.13/298,981.78
  6. Step 6: Final answer
    x = 405,784.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.