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Finding the Fourth Proportional to 262,739.31, 394,258.95 and 102,828.30

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Solution

The fourth proportional to 262,739.31, 394,258.95 and 102,828.30 is: 154,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,739.31 : 394,258.95 = 102,828.30 : x
  2. Step 2: Convert to fraction form
    262,739.31/394,258.95 = 102,828.30/x
  3. Step 3: Cross multiply
    262,739.31x = 394,258.95 × 102,828.30
  4. Step 4: Simplify right side
    262,739.31x = 40,540,977,588.29
  5. Step 5: Solve for x
    x = 40,540,977,588.29/262,739.31
  6. Step 6: Final answer
    x = 154,301.15

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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.