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Finding the Fourth Proportional to 713,709.40, 984,917.46 and 411,903.40

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Solution

The fourth proportional to 713,709.40, 984,917.46 and 411,903.40 is: 568,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,709.40 : 984,917.46 = 411,903.40 : x
  2. Step 2: Convert to fraction form
    713,709.40/984,917.46 = 411,903.40/x
  3. Step 3: Cross multiply
    713,709.40x = 984,917.46 × 411,903.40
  4. Step 4: Simplify right side
    713,709.40x = 405,690,850,493.36
  5. Step 5: Solve for x
    x = 405,690,850,493.36/713,709.40
  6. Step 6: Final answer
    x = 568,425.82

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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.