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Finding the Fourth Proportional to 285,775.37, 394,280.27 and 164,900.80

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Solution

The fourth proportional to 285,775.37, 394,280.27 and 164,900.80 is: 227,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,775.37 : 394,280.27 = 164,900.80 : x
  2. Step 2: Convert to fraction form
    285,775.37/394,280.27 = 164,900.80/x
  3. Step 3: Cross multiply
    285,775.37x = 394,280.27 × 164,900.80
  4. Step 4: Simplify right side
    285,775.37x = 65,017,129,151.31
  5. Step 5: Solve for x
    x = 65,017,129,151.31/285,775.37
  6. Step 6: Final answer
    x = 227,511.31

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1.5x scale

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.