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Finding the Fourth Proportional to 262,978.80, 394,727.40 and 130,009.20

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Solution

The fourth proportional to 262,978.80, 394,727.40 and 130,009.20 is: 195,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,978.80 : 394,727.40 = 130,009.20 : x
  2. Step 2: Convert to fraction form
    262,978.80/394,727.40 = 130,009.20/x
  3. Step 3: Cross multiply
    262,978.80x = 394,727.40 × 130,009.20
  4. Step 4: Simplify right side
    262,978.80x = 51,318,193,492.08
  5. Step 5: Solve for x
    x = 51,318,193,492.08/262,978.80
  6. Step 6: Final answer
    x = 195,141.94

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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.