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Finding the Fourth Proportional to 538,642.92, 743,293.80 and 296,913

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Solution

The fourth proportional to 538,642.92, 743,293.80 and 296,913 is: 409,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,642.92 : 743,293.80 = 296,913 : x
  2. Step 2: Convert to fraction form
    538,642.92/743,293.80 = 296,913/x
  3. Step 3: Cross multiply
    538,642.92x = 743,293.80 × 296,913
  4. Step 4: Simplify right side
    538,642.92x = 220,693,592,039.40
  5. Step 5: Solve for x
    x = 220,693,592,039.40/538,642.92
  6. Step 6: Final answer
    x = 409,721.51

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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.