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Finding the Fourth Proportional to 554,858.10, 765,704.16 and 300,209.31

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Solution

The fourth proportional to 554,858.10, 765,704.16 and 300,209.31 is: 414,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,858.10 : 765,704.16 = 300,209.31 : x
  2. Step 2: Convert to fraction form
    554,858.10/765,704.16 = 300,209.31/x
  3. Step 3: Cross multiply
    554,858.10x = 765,704.16 × 300,209.31
  4. Step 4: Simplify right side
    554,858.10x = 229,871,517,537.73
  5. Step 5: Solve for x
    x = 229,871,517,537.73/554,858.10
  6. Step 6: Final answer
    x = 414,288.84

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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.