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Finding the Fourth Proportional to 204,260.40, 305,807.40 and 157,215.60

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Solution

The fourth proportional to 204,260.40, 305,807.40 and 157,215.60 is: 235,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,260.40 : 305,807.40 = 157,215.60 : x
  2. Step 2: Convert to fraction form
    204,260.40/305,807.40 = 157,215.60/x
  3. Step 3: Cross multiply
    204,260.40x = 305,807.40 × 157,215.60
  4. Step 4: Simplify right side
    204,260.40x = 48,077,693,875.44
  5. Step 5: Solve for x
    x = 48,077,693,875.44/204,260.40
  6. Step 6: Final answer
    x = 235,374.52

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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.