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Finding the Fourth Proportional to 294,971.60, 442,687.80 and 137,219.60

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Solution

The fourth proportional to 294,971.60, 442,687.80 and 137,219.60 is: 205,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,971.60 : 442,687.80 = 137,219.60 : x
  2. Step 2: Convert to fraction form
    294,971.60/442,687.80 = 137,219.60/x
  3. Step 3: Cross multiply
    294,971.60x = 442,687.80 × 137,219.60
  4. Step 4: Simplify right side
    294,971.60x = 60,745,442,840.88
  5. Step 5: Solve for x
    x = 60,745,442,840.88/294,971.60
  6. Step 6: Final answer
    x = 205,936.58

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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.