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Finding the Fourth Proportional to 217,514.40, 305,220 and 217,514.40

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Solution

The fourth proportional to 217,514.40, 305,220 and 217,514.40 is: 305,220

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,514.40 : 305,220 = 217,514.40 : x
  2. Step 2: Convert to fraction form
    217,514.40/305,220 = 217,514.40/x
  3. Step 3: Cross multiply
    217,514.40x = 305,220 × 217,514.40
  4. Step 4: Simplify right side
    217,514.40x = 66,389,745,168
  5. Step 5: Solve for x
    x = 66,389,745,168/217,514.40
  6. Step 6: Final answer
    x = 305,220

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.