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Finding the Fourth Proportional to 205,638.32, 308,632.44 and 146,618.48

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Solution

The fourth proportional to 205,638.32, 308,632.44 and 146,618.48 is: 220,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,638.32 : 308,632.44 = 146,618.48 : x
  2. Step 2: Convert to fraction form
    205,638.32/308,632.44 = 146,618.48/x
  3. Step 3: Cross multiply
    205,638.32x = 308,632.44 × 146,618.48
  4. Step 4: Simplify right side
    205,638.32x = 45,251,219,231.49
  5. Step 5: Solve for x
    x = 45,251,219,231.49/205,638.32
  6. Step 6: Final answer
    x = 220,052.47

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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.