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Finding the Fourth Proportional to 525,305, 786,694.34 and 299,982.52

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Solution

The fourth proportional to 525,305, 786,694.34 and 299,982.52 is: 449,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,305 : 786,694.34 = 299,982.52 : x
  2. Step 2: Convert to fraction form
    525,305/786,694.34 = 299,982.52/x
  3. Step 3: Cross multiply
    525,305x = 786,694.34 × 299,982.52
  4. Step 4: Simplify right side
    525,305x = 235,994,550,582.94
  5. Step 5: Solve for x
    x = 235,994,550,582.94/525,305
  6. Step 6: Final answer
    x = 449,252.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.