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Finding the Fourth Proportional to 448,878.26, 619,451.74 and 287,733.22

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Solution

The fourth proportional to 448,878.26, 619,451.74 and 287,733.22 is: 397,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,878.26 : 619,451.74 = 287,733.22 : x
  2. Step 2: Convert to fraction form
    448,878.26/619,451.74 = 287,733.22/x
  3. Step 3: Cross multiply
    448,878.26x = 619,451.74 × 287,733.22
  4. Step 4: Simplify right side
    448,878.26x = 178,236,843,784.80
  5. Step 5: Solve for x
    x = 178,236,843,784.80/448,878.26
  6. Step 6: Final answer
    x = 397,071.68

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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.