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Finding the Fourth Proportional to 519,764, 717,274.72 and 281,300

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Solution

The fourth proportional to 519,764, 717,274.72 and 281,300 is: 388,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,764 : 717,274.72 = 281,300 : x
  2. Step 2: Convert to fraction form
    519,764/717,274.72 = 281,300/x
  3. Step 3: Cross multiply
    519,764x = 717,274.72 × 281,300
  4. Step 4: Simplify right side
    519,764x = 201,769,378,736
  5. Step 5: Solve for x
    x = 201,769,378,736/519,764
  6. Step 6: Final answer
    x = 388,194.22

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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.