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Finding the Fourth Proportional to 538,479.20, 805,969.20 and 419,506.40

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Solution

The fourth proportional to 538,479.20, 805,969.20 and 419,506.40 is: 627,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,479.20 : 805,969.20 = 419,506.40 : x
  2. Step 2: Convert to fraction form
    538,479.20/805,969.20 = 419,506.40/x
  3. Step 3: Cross multiply
    538,479.20x = 805,969.20 × 419,506.40
  4. Step 4: Simplify right side
    538,479.20x = 338,109,237,602.88
  5. Step 5: Solve for x
    x = 338,109,237,602.88/538,479.20
  6. Step 6: Final answer
    x = 627,896.56

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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.