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Finding the Fourth Proportional to 205,980.20, 308,314.20 and 146,931.20

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Solution

The fourth proportional to 205,980.20, 308,314.20 and 146,931.20 is: 219,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,980.20 : 308,314.20 = 146,931.20 : x
  2. Step 2: Convert to fraction form
    205,980.20/308,314.20 = 146,931.20/x
  3. Step 3: Cross multiply
    205,980.20x = 308,314.20 × 146,931.20
  4. Step 4: Simplify right side
    205,980.20x = 45,300,975,383.04
  5. Step 5: Solve for x
    x = 45,300,975,383.04/205,980.20
  6. Step 6: Final answer
    x = 219,928.79

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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.