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Finding the Fourth Proportional to 519,836.50, 717,376.53 and 281,372.50

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Solution

The fourth proportional to 519,836.50, 717,376.53 and 281,372.50 is: 388,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,836.50 : 717,376.53 = 281,372.50 : x
  2. Step 2: Convert to fraction form
    519,836.50/717,376.53 = 281,372.50/x
  3. Step 3: Cross multiply
    519,836.50x = 717,376.53 × 281,372.50
  4. Step 4: Simplify right side
    519,836.50x = 201,850,027,687.43
  5. Step 5: Solve for x
    x = 201,850,027,687.43/519,836.50
  6. Step 6: Final answer
    x = 388,295.22

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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.