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Finding the Fourth Proportional to 303,736.32, 419,160.64 and 176,412

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Solution

The fourth proportional to 303,736.32, 419,160.64 and 176,412 is: 243,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,736.32 : 419,160.64 = 176,412 : x
  2. Step 2: Convert to fraction form
    303,736.32/419,160.64 = 176,412/x
  3. Step 3: Cross multiply
    303,736.32x = 419,160.64 × 176,412
  4. Step 4: Simplify right side
    303,736.32x = 73,944,966,823.68
  5. Step 5: Solve for x
    x = 73,944,966,823.68/303,736.32
  6. Step 6: Final answer
    x = 243,451.18

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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.