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Finding the Fourth Proportional to 512,024.96, 706,596.48 and 285,680

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Solution

The fourth proportional to 512,024.96, 706,596.48 and 285,680 is: 394,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,024.96 : 706,596.48 = 285,680 : x
  2. Step 2: Convert to fraction form
    512,024.96/706,596.48 = 285,680/x
  3. Step 3: Cross multiply
    512,024.96x = 706,596.48 × 285,680
  4. Step 4: Simplify right side
    512,024.96x = 201,860,482,406.40
  5. Step 5: Solve for x
    x = 201,860,482,406.40/512,024.96
  6. Step 6: Final answer
    x = 394,239.54

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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.