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Finding the Fourth Proportional to 677,811, 1,016,716.50 and 234,579

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Solution

The fourth proportional to 677,811, 1,016,716.50 and 234,579 is: 351,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,811 : 1,016,716.50 = 234,579 : x
  2. Step 2: Convert to fraction form
    677,811/1,016,716.50 = 234,579/x
  3. Step 3: Cross multiply
    677,811x = 1,016,716.50 × 234,579
  4. Step 4: Simplify right side
    677,811x = 238,500,339,853.50
  5. Step 5: Solve for x
    x = 238,500,339,853.50/677,811
  6. Step 6: Final answer
    x = 351,868.50

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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.