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Finding the Fourth Proportional to 309,904.80, 463,690.80 and 204,928.80

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Solution

The fourth proportional to 309,904.80, 463,690.80 and 204,928.80 is: 306,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,904.80 : 463,690.80 = 204,928.80 : x
  2. Step 2: Convert to fraction form
    309,904.80/463,690.80 = 204,928.80/x
  3. Step 3: Cross multiply
    309,904.80x = 463,690.80 × 204,928.80
  4. Step 4: Simplify right side
    309,904.80x = 95,023,599,215.04
  5. Step 5: Solve for x
    x = 95,023,599,215.04/309,904.80
  6. Step 6: Final answer
    x = 306,621.90

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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.