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Finding the Fourth Proportional to 519,755.82, 717,274.80 and 305,050.74

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Solution

The fourth proportional to 519,755.82, 717,274.80 and 305,050.74 is: 420,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,755.82 : 717,274.80 = 305,050.74 : x
  2. Step 2: Convert to fraction form
    519,755.82/717,274.80 = 305,050.74/x
  3. Step 3: Cross multiply
    519,755.82x = 717,274.80 × 305,050.74
  4. Step 4: Simplify right side
    519,755.82x = 218,805,208,523.35
  5. Step 5: Solve for x
    x = 218,805,208,523.35/519,755.82
  6. Step 6: Final answer
    x = 420,976.93

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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.