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Finding the Fourth Proportional to 300,400.75, 414,553.44 and 187,223.50

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Solution

The fourth proportional to 300,400.75, 414,553.44 and 187,223.50 is: 258,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,400.75 : 414,553.44 = 187,223.50 : x
  2. Step 2: Convert to fraction form
    300,400.75/414,553.44 = 187,223.50/x
  3. Step 3: Cross multiply
    300,400.75x = 414,553.44 × 187,223.50
  4. Step 4: Simplify right side
    300,400.75x = 77,614,145,973.84
  5. Step 5: Solve for x
    x = 77,614,145,973.84/300,400.75
  6. Step 6: Final answer
    x = 258,368.68

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1.5x scale

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.