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Finding the Fourth Proportional to 381,071.55, 525,840.84 and 219,978.50

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Solution

The fourth proportional to 381,071.55, 525,840.84 and 219,978.50 is: 303,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,071.55 : 525,840.84 = 219,978.50 : x
  2. Step 2: Convert to fraction form
    381,071.55/525,840.84 = 219,978.50/x
  3. Step 3: Cross multiply
    381,071.55x = 525,840.84 × 219,978.50
  4. Step 4: Simplify right side
    381,071.55x = 115,673,676,592.74
  5. Step 5: Solve for x
    x = 115,673,676,592.74/381,071.55
  6. Step 6: Final answer
    x = 303,548.45

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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.