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Finding the Fourth Proportional to 491,015.61, 677,982.83 and 383,399.01

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Solution

The fourth proportional to 491,015.61, 677,982.83 and 383,399.01 is: 529,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,015.61 : 677,982.83 = 383,399.01 : x
  2. Step 2: Convert to fraction form
    491,015.61/677,982.83 = 383,399.01/x
  3. Step 3: Cross multiply
    491,015.61x = 677,982.83 × 383,399.01
  4. Step 4: Simplify right side
    491,015.61x = 259,937,943,902.00
  5. Step 5: Solve for x
    x = 259,937,943,902.00/491,015.61
  6. Step 6: Final answer
    x = 529,388.35

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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.