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Finding the Fourth Proportional to 262,978.80, 394,468.20 and 105,320.40

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Solution

The fourth proportional to 262,978.80, 394,468.20 and 105,320.40 is: 157,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,978.80 : 394,468.20 = 105,320.40 : x
  2. Step 2: Convert to fraction form
    262,978.80/394,468.20 = 105,320.40/x
  3. Step 3: Cross multiply
    262,978.80x = 394,468.20 × 105,320.40
  4. Step 4: Simplify right side
    262,978.80x = 41,545,548,611.28
  5. Step 5: Solve for x
    x = 41,545,548,611.28/262,978.80
  6. Step 6: Final answer
    x = 157,980.60

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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.