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Finding the Fourth Proportional to 291,294.60, 401,297.36 and 277,841.80

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Solution

The fourth proportional to 291,294.60, 401,297.36 and 277,841.80 is: 382,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,294.60 : 401,297.36 = 277,841.80 : x
  2. Step 2: Convert to fraction form
    291,294.60/401,297.36 = 277,841.80/x
  3. Step 3: Cross multiply
    291,294.60x = 401,297.36 × 277,841.80
  4. Step 4: Simplify right side
    291,294.60x = 111,497,180,837.65
  5. Step 5: Solve for x
    x = 111,497,180,837.65/291,294.60
  6. Step 6: Final answer
    x = 382,764.32

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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.