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Finding the Fourth Proportional to 394,304.61, 543,783.13 and 258,288.94

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Solution

The fourth proportional to 394,304.61, 543,783.13 and 258,288.94 is: 356,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,304.61 : 543,783.13 = 258,288.94 : x
  2. Step 2: Convert to fraction form
    394,304.61/543,783.13 = 258,288.94/x
  3. Step 3: Cross multiply
    394,304.61x = 543,783.13 × 258,288.94
  4. Step 4: Simplify right side
    394,304.61x = 140,453,168,237.58
  5. Step 5: Solve for x
    x = 140,453,168,237.58/394,304.61
  6. Step 6: Final answer
    x = 356,204.73

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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.