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Finding the Fourth Proportional to 262,964.90, 394,447.35 and 162,800.30

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Solution

The fourth proportional to 262,964.90, 394,447.35 and 162,800.30 is: 244,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,964.90 : 394,447.35 = 162,800.30 : x
  2. Step 2: Convert to fraction form
    262,964.90/394,447.35 = 162,800.30/x
  3. Step 3: Cross multiply
    262,964.90x = 394,447.35 × 162,800.30
  4. Step 4: Simplify right side
    262,964.90x = 64,216,146,914.21
  5. Step 5: Solve for x
    x = 64,216,146,914.21/262,964.90
  6. Step 6: Final answer
    x = 244,200.45

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1.5x scale

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.