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Finding the Fourth Proportional to 664,660.26, 997,315.71 and 411,873.14

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Solution

The fourth proportional to 664,660.26, 997,315.71 and 411,873.14 is: 618,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,660.26 : 997,315.71 = 411,873.14 : x
  2. Step 2: Convert to fraction form
    664,660.26/997,315.71 = 411,873.14/x
  3. Step 3: Cross multiply
    664,660.26x = 997,315.71 × 411,873.14
  4. Step 4: Simplify right side
    664,660.26x = 410,767,548,062.45
  5. Step 5: Solve for x
    x = 410,767,548,062.45/664,660.26
  6. Step 6: Final answer
    x = 618,011.30

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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.