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Finding the Fourth Proportional to 538,722.95, 743,448.92 and 297,015.71

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Solution

The fourth proportional to 538,722.95, 743,448.92 and 297,015.71 is: 409,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,722.95 : 743,448.92 = 297,015.71 : x
  2. Step 2: Convert to fraction form
    538,722.95/743,448.92 = 297,015.71/x
  3. Step 3: Cross multiply
    538,722.95x = 743,448.92 × 297,015.71
  4. Step 4: Simplify right side
    538,722.95x = 220,816,003,620.21
  5. Step 5: Solve for x
    x = 220,816,003,620.21/538,722.95
  6. Step 6: Final answer
    x = 409,887.88

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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.