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Finding the Fourth Proportional to 306,911.44, 423,559.05 and 186,057.82

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Solution

The fourth proportional to 306,911.44, 423,559.05 and 186,057.82 is: 256,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,911.44 : 423,559.05 = 186,057.82 : x
  2. Step 2: Convert to fraction form
    306,911.44/423,559.05 = 186,057.82/x
  3. Step 3: Cross multiply
    306,911.44x = 423,559.05 × 186,057.82
  4. Step 4: Simplify right side
    306,911.44x = 78,806,473,484.27
  5. Step 5: Solve for x
    x = 78,806,473,484.27/306,911.44
  6. Step 6: Final answer
    x = 256,772.68

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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.