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Finding the Fourth Proportional to 654,846.12, 978,541.56 and 491,676.48

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Solution

The fourth proportional to 654,846.12, 978,541.56 and 491,676.48 is: 734,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,846.12 : 978,541.56 = 491,676.48 : x
  2. Step 2: Convert to fraction form
    654,846.12/978,541.56 = 491,676.48/x
  3. Step 3: Cross multiply
    654,846.12x = 978,541.56 × 491,676.48
  4. Step 4: Simplify right side
    654,846.12x = 481,125,869,754.51
  5. Step 5: Solve for x
    x = 481,125,869,754.51/654,846.12
  6. Step 6: Final answer
    x = 734,715.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.