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Finding the Fourth Proportional to 538,264.40, 742,805.56 and 293,247.95

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Solution

The fourth proportional to 538,264.40, 742,805.56 and 293,247.95 is: 404,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,264.40 : 742,805.56 = 293,247.95 : x
  2. Step 2: Convert to fraction form
    538,264.40/742,805.56 = 293,247.95/x
  3. Step 3: Cross multiply
    538,264.40x = 742,805.56 × 293,247.95
  4. Step 4: Simplify right side
    538,264.40x = 217,826,204,371.13
  5. Step 5: Solve for x
    x = 217,826,204,371.13/538,264.40
  6. Step 6: Final answer
    x = 404,682.54

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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.