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Finding the Fourth Proportional to 300,400.88, 450,289.82 and 187,822.63

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Solution

The fourth proportional to 300,400.88, 450,289.82 and 187,822.63 is: 281,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,400.88 : 450,289.82 = 187,822.63 : x
  2. Step 2: Convert to fraction form
    300,400.88/450,289.82 = 187,822.63/x
  3. Step 3: Cross multiply
    300,400.88x = 450,289.82 × 187,822.63
  4. Step 4: Simplify right side
    300,400.88x = 84,574,616,472.73
  5. Step 5: Solve for x
    x = 84,574,616,472.73/300,400.88
  6. Step 6: Final answer
    x = 281,539.18

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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.