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Finding the Fourth Proportional to 538,664.80, 743,362.60 and 296,956.80

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Solution

The fourth proportional to 538,664.80, 743,362.60 and 296,956.80 is: 409,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,664.80 : 743,362.60 = 296,956.80 : x
  2. Step 2: Convert to fraction form
    538,664.80/743,362.60 = 296,956.80/x
  3. Step 3: Cross multiply
    538,664.80x = 743,362.60 × 296,956.80
  4. Step 4: Simplify right side
    538,664.80x = 220,746,578,935.68
  5. Step 5: Solve for x
    x = 220,746,578,935.68/538,664.80
  6. Step 6: Final answer
    x = 409,803.24

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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.