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Finding the Fourth Proportional to 309,665.28, 463,709.76 and 204,164.16

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Solution

The fourth proportional to 309,665.28, 463,709.76 and 204,164.16 is: 305,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,665.28 : 463,709.76 = 204,164.16 : x
  2. Step 2: Convert to fraction form
    309,665.28/463,709.76 = 204,164.16/x
  3. Step 3: Cross multiply
    309,665.28x = 463,709.76 × 204,164.16
  4. Step 4: Simplify right side
    309,665.28x = 94,672,913,634.20
  5. Step 5: Solve for x
    x = 94,672,913,634.20/309,665.28
  6. Step 6: Final answer
    x = 305,726.60

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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.