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Finding the Fourth Proportional to 236,464.40, 354,235.80 and 142,691.60

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Solution

The fourth proportional to 236,464.40, 354,235.80 and 142,691.60 is: 213,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,464.40 : 354,235.80 = 142,691.60 : x
  2. Step 2: Convert to fraction form
    236,464.40/354,235.80 = 142,691.60/x
  3. Step 3: Cross multiply
    236,464.40x = 354,235.80 × 142,691.60
  4. Step 4: Simplify right side
    236,464.40x = 50,546,473,079.28
  5. Step 5: Solve for x
    x = 50,546,473,079.28/236,464.40
  6. Step 6: Final answer
    x = 213,759.34

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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.