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Finding the Fourth Proportional to 303,709.32, 419,048.10 and 176,309.28

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Solution

The fourth proportional to 303,709.32, 419,048.10 and 176,309.28 is: 243,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,709.32 : 419,048.10 = 176,309.28 : x
  2. Step 2: Convert to fraction form
    303,709.32/419,048.10 = 176,309.28/x
  3. Step 3: Cross multiply
    303,709.32x = 419,048.10 × 176,309.28
  4. Step 4: Simplify right side
    303,709.32x = 73,882,068,796.37
  5. Step 5: Solve for x
    x = 73,882,068,796.37/303,709.32
  6. Step 6: Final answer
    x = 243,265.73

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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.