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Finding the Fourth Proportional to 538,606.70, 743,277.05 and 296,893.31

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Solution

The fourth proportional to 538,606.70, 743,277.05 and 296,893.31 is: 409,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,606.70 : 743,277.05 = 296,893.31 : x
  2. Step 2: Convert to fraction form
    538,606.70/743,277.05 = 296,893.31/x
  3. Step 3: Cross multiply
    538,606.70x = 743,277.05 × 296,893.31
  4. Step 4: Simplify right side
    538,606.70x = 220,673,983,621.54
  5. Step 5: Solve for x
    x = 220,673,983,621.54/538,606.70
  6. Step 6: Final answer
    x = 409,712.66

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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.