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Finding the Fourth Proportional to 491,953.28, 678,946.56 and 301,093.76

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Solution

The fourth proportional to 491,953.28, 678,946.56 and 301,093.76 is: 415,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,953.28 : 678,946.56 = 301,093.76 : x
  2. Step 2: Convert to fraction form
    491,953.28/678,946.56 = 301,093.76/x
  3. Step 3: Cross multiply
    491,953.28x = 678,946.56 × 301,093.76
  4. Step 4: Simplify right side
    491,953.28x = 204,426,572,589.47
  5. Step 5: Solve for x
    x = 204,426,572,589.47/491,953.28
  6. Step 6: Final answer
    x = 415,540.62

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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.