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Finding the Fourth Proportional to 305,068.94, 420,745.56 and 214,723.98

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Solution

The fourth proportional to 305,068.94, 420,745.56 and 214,723.98 is: 296,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,068.94 : 420,745.56 = 214,723.98 : x
  2. Step 2: Convert to fraction form
    305,068.94/420,745.56 = 214,723.98/x
  3. Step 3: Cross multiply
    305,068.94x = 420,745.56 × 214,723.98
  4. Step 4: Simplify right side
    305,068.94x = 90,344,161,210.53
  5. Step 5: Solve for x
    x = 90,344,161,210.53/305,068.94
  6. Step 6: Final answer
    x = 296,143.43

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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.