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Finding the Fourth Proportional to 238,268.40, 357,305.40 and 80,415.60

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Solution

The fourth proportional to 238,268.40, 357,305.40 and 80,415.60 is: 120,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,268.40 : 357,305.40 = 80,415.60 : x
  2. Step 2: Convert to fraction form
    238,268.40/357,305.40 = 80,415.60/x
  3. Step 3: Cross multiply
    238,268.40x = 357,305.40 × 80,415.60
  4. Step 4: Simplify right side
    238,268.40x = 28,732,928,124.24
  5. Step 5: Solve for x
    x = 28,732,928,124.24/238,268.40
  6. Step 6: Final answer
    x = 120,590.59

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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.