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Finding the Fourth Proportional to 285,978.35, 394,636.91 and 156,913.61

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Solution

The fourth proportional to 285,978.35, 394,636.91 and 156,913.61 is: 216,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978.35 : 394,636.91 = 156,913.61 : x
  2. Step 2: Convert to fraction form
    285,978.35/394,636.91 = 156,913.61/x
  3. Step 3: Cross multiply
    285,978.35x = 394,636.91 × 156,913.61
  4. Step 4: Simplify right side
    285,978.35x = 61,923,902,187.35
  5. Step 5: Solve for x
    x = 61,923,902,187.35/285,978.35
  6. Step 6: Final answer
    x = 216,533.53

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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.