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Finding the Fourth Proportional to 300,907.72, 415,295.18 and 186,223.31

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Solution

The fourth proportional to 300,907.72, 415,295.18 and 186,223.31 is: 257,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,907.72 : 415,295.18 = 186,223.31 : x
  2. Step 2: Convert to fraction form
    300,907.72/415,295.18 = 186,223.31/x
  3. Step 3: Cross multiply
    300,907.72x = 415,295.18 × 186,223.31
  4. Step 4: Simplify right side
    300,907.72x = 77,337,643,046.65
  5. Step 5: Solve for x
    x = 77,337,643,046.65/300,907.72
  6. Step 6: Final answer
    x = 257,014.49

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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.