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Finding the Fourth Proportional to 204,428, 306,644.76 and 64,186.64

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Solution

The fourth proportional to 204,428, 306,644.76 and 64,186.64 is: 96,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,428 : 306,644.76 = 64,186.64 : x
  2. Step 2: Convert to fraction form
    204,428/306,644.76 = 64,186.64/x
  3. Step 3: Cross multiply
    204,428x = 306,644.76 × 64,186.64
  4. Step 4: Simplify right side
    204,428x = 19,682,496,818.01
  5. Step 5: Solve for x
    x = 19,682,496,818.01/204,428
  6. Step 6: Final answer
    x = 96,280.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.