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Finding the Fourth Proportional to 519,751.82, 717,269.28 and 305,046.74

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Solution

The fourth proportional to 519,751.82, 717,269.28 and 305,046.74 is: 420,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,751.82 : 717,269.28 = 305,046.74 : x
  2. Step 2: Convert to fraction form
    519,751.82/717,269.28 = 305,046.74/x
  3. Step 3: Cross multiply
    519,751.82x = 717,269.28 × 305,046.74
  4. Step 4: Simplify right side
    519,751.82x = 218,800,656,215.40
  5. Step 5: Solve for x
    x = 218,800,656,215.40/519,751.82
  6. Step 6: Final answer
    x = 420,971.41

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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.