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Finding the Fourth Proportional to 538,867.20, 809,175.60 and 302,671.20

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Solution

The fourth proportional to 538,867.20, 809,175.60 and 302,671.20 is: 454,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,867.20 : 809,175.60 = 302,671.20 : x
  2. Step 2: Convert to fraction form
    538,867.20/809,175.60 = 302,671.20/x
  3. Step 3: Cross multiply
    538,867.20x = 809,175.60 × 302,671.20
  4. Step 4: Simplify right side
    538,867.20x = 244,914,149,862.72
  5. Step 5: Solve for x
    x = 244,914,149,862.72/538,867.20
  6. Step 6: Final answer
    x = 454,498.16

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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.