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Finding the Fourth Proportional to 538,681.88, 743,383.22 and 296,959.11

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Solution

The fourth proportional to 538,681.88, 743,383.22 and 296,959.11 is: 409,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,681.88 : 743,383.22 = 296,959.11 : x
  2. Step 2: Convert to fraction form
    538,681.88/743,383.22 = 296,959.11/x
  3. Step 3: Cross multiply
    538,681.88x = 743,383.22 × 296,959.11
  4. Step 4: Simplify right side
    538,681.88x = 220,754,417,915.34
  5. Step 5: Solve for x
    x = 220,754,417,915.34/538,681.88
  6. Step 6: Final answer
    x = 409,804.80

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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.