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Finding the Fourth Proportional to 217,483.44, 300,719.16 and 189,489.84

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Solution

The fourth proportional to 217,483.44, 300,719.16 and 189,489.84 is: 262,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,483.44 : 300,719.16 = 189,489.84 : x
  2. Step 2: Convert to fraction form
    217,483.44/300,719.16 = 189,489.84/x
  3. Step 3: Cross multiply
    217,483.44x = 300,719.16 × 189,489.84
  4. Step 4: Simplify right side
    217,483.44x = 56,983,225,513.33
  5. Step 5: Solve for x
    x = 56,983,225,513.33/217,483.44
  6. Step 6: Final answer
    x = 262,011.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.