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Finding the Fourth Proportional to 713,704.40, 984,910.56 and 411,898.40

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Solution

The fourth proportional to 713,704.40, 984,910.56 and 411,898.40 is: 568,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,704.40 : 984,910.56 = 411,898.40 : x
  2. Step 2: Convert to fraction form
    713,704.40/984,910.56 = 411,898.40/x
  3. Step 3: Cross multiply
    713,704.40x = 984,910.56 × 411,898.40
  4. Step 4: Simplify right side
    713,704.40x = 405,683,083,807.10
  5. Step 5: Solve for x
    x = 405,683,083,807.10/713,704.40
  6. Step 6: Final answer
    x = 568,418.92

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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.