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Finding the Fourth Proportional to 217,999.40, 305,899 and 217,999.40

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Solution

The fourth proportional to 217,999.40, 305,899 and 217,999.40 is: 305,899

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,999.40 : 305,899 = 217,999.40 : x
  2. Step 2: Convert to fraction form
    217,999.40/305,899 = 217,999.40/x
  3. Step 3: Cross multiply
    217,999.40x = 305,899 × 217,999.40
  4. Step 4: Simplify right side
    217,999.40x = 66,685,798,460.60
  5. Step 5: Solve for x
    x = 66,685,798,460.60/217,999.40
  6. Step 6: Final answer
    x = 305,899

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1.5x scale

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.