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Finding the Fourth Proportional to 538,712.38, 743,456.58 and 296,994.61

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Solution

The fourth proportional to 538,712.38, 743,456.58 and 296,994.61 is: 409,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,712.38 : 743,456.58 = 296,994.61 : x
  2. Step 2: Convert to fraction form
    538,712.38/743,456.58 = 296,994.61/x
  3. Step 3: Cross multiply
    538,712.38x = 743,456.58 × 296,994.61
  4. Step 4: Simplify right side
    538,712.38x = 220,802,593,311.75
  5. Step 5: Solve for x
    x = 220,802,593,311.75/538,712.38
  6. Step 6: Final answer
    x = 409,871.02

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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.