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Finding the Fourth Proportional to 309,518.88, 464,278.20 and 204,313.20

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Solution

The fourth proportional to 309,518.88, 464,278.20 and 204,313.20 is: 306,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,518.88 : 464,278.20 = 204,313.20 : x
  2. Step 2: Convert to fraction form
    309,518.88/464,278.20 = 204,313.20/x
  3. Step 3: Cross multiply
    309,518.88x = 464,278.20 × 204,313.20
  4. Step 4: Simplify right side
    309,518.88x = 94,858,164,732.24
  5. Step 5: Solve for x
    x = 94,858,164,732.24/309,518.88
  6. Step 6: Final answer
    x = 306,469.72

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1.5x scale

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.