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Finding the Fourth Proportional to 306,312.82, 422,649.75 and 178,963.81

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Solution

The fourth proportional to 306,312.82, 422,649.75 and 178,963.81 is: 246,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,312.82 : 422,649.75 = 178,963.81 : x
  2. Step 2: Convert to fraction form
    306,312.82/422,649.75 = 178,963.81/x
  3. Step 3: Cross multiply
    306,312.82x = 422,649.75 × 178,963.81
  4. Step 4: Simplify right side
    306,312.82x = 75,639,009,555.55
  5. Step 5: Solve for x
    x = 75,639,009,555.55/306,312.82
  6. Step 6: Final answer
    x = 246,933.87

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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.