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Finding the Fourth Proportional to 514,067.28, 709,435.01 and 284,624.56

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Solution

The fourth proportional to 514,067.28, 709,435.01 and 284,624.56 is: 392,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,067.28 : 709,435.01 = 284,624.56 : x
  2. Step 2: Convert to fraction form
    514,067.28/709,435.01 = 284,624.56/x
  3. Step 3: Cross multiply
    514,067.28x = 709,435.01 × 284,624.56
  4. Step 4: Simplify right side
    514,067.28x = 201,922,628,281.41
  5. Step 5: Solve for x
    x = 201,922,628,281.41/514,067.28
  6. Step 6: Final answer
    x = 392,794.17

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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.