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Finding the Fourth Proportional to 213,469.28, 319,949.44 and 99,464.16

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Solution

The fourth proportional to 213,469.28, 319,949.44 and 99,464.16 is: 149,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,469.28 : 319,949.44 = 99,464.16 : x
  2. Step 2: Convert to fraction form
    213,469.28/319,949.44 = 99,464.16/x
  3. Step 3: Cross multiply
    213,469.28x = 319,949.44 × 99,464.16
  4. Step 4: Simplify right side
    213,469.28x = 31,823,502,292.07
  5. Step 5: Solve for x
    x = 31,823,502,292.07/213,469.28
  6. Step 6: Final answer
    x = 149,077.67

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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.