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Finding the Fourth Proportional to 306,302.82, 422,635.95 and 178,953.81

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Solution

The fourth proportional to 306,302.82, 422,635.95 and 178,953.81 is: 246,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,302.82 : 422,635.95 = 178,953.81 : x
  2. Step 2: Convert to fraction form
    306,302.82/422,635.95 = 178,953.81/x
  3. Step 3: Cross multiply
    306,302.82x = 422,635.95 × 178,953.81
  4. Step 4: Simplify right side
    306,302.82x = 75,632,313,495.47
  5. Step 5: Solve for x
    x = 75,632,313,495.47/306,302.82
  6. Step 6: Final answer
    x = 246,920.07

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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.