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Finding the Fourth Proportional to 381,076.95, 525,848.30 and 219,983.90

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Solution

The fourth proportional to 381,076.95, 525,848.30 and 219,983.90 is: 303,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,076.95 : 525,848.30 = 219,983.90 : x
  2. Step 2: Convert to fraction form
    381,076.95/525,848.30 = 219,983.90/x
  3. Step 3: Cross multiply
    381,076.95x = 525,848.30 × 219,983.90
  4. Step 4: Simplify right side
    381,076.95x = 115,678,161,706.95
  5. Step 5: Solve for x
    x = 115,678,161,706.95/381,076.95
  6. Step 6: Final answer
    x = 303,555.91

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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.