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Finding the Fourth Proportional to 538,335.20, 805,947.60 and 328,383.20

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Solution

The fourth proportional to 538,335.20, 805,947.60 and 328,383.20 is: 491,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,335.20 : 805,947.60 = 328,383.20 : x
  2. Step 2: Convert to fraction form
    538,335.20/805,947.60 = 328,383.20/x
  3. Step 3: Cross multiply
    538,335.20x = 805,947.60 × 328,383.20
  4. Step 4: Simplify right side
    538,335.20x = 264,659,651,920.32
  5. Step 5: Solve for x
    x = 264,659,651,920.32/538,335.20
  6. Step 6: Final answer
    x = 491,626.13

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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.