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Finding the Fourth Proportional to 509,466.70, 703,103.25 and 305,525.31

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Solution

The fourth proportional to 509,466.70, 703,103.25 and 305,525.31 is: 421,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,466.70 : 703,103.25 = 305,525.31 : x
  2. Step 2: Convert to fraction form
    509,466.70/703,103.25 = 305,525.31/x
  3. Step 3: Cross multiply
    509,466.70x = 703,103.25 × 305,525.31
  4. Step 4: Simplify right side
    509,466.70x = 214,815,838,418.26
  5. Step 5: Solve for x
    x = 214,815,838,418.26/509,466.70
  6. Step 6: Final answer
    x = 421,648.44

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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.