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Finding the Fourth Proportional to 400,600.54, 552,827.88 and 219,311

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Solution

The fourth proportional to 400,600.54, 552,827.88 and 219,311 is: 302,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,600.54 : 552,827.88 = 219,311 : x
  2. Step 2: Convert to fraction form
    400,600.54/552,827.88 = 219,311/x
  3. Step 3: Cross multiply
    400,600.54x = 552,827.88 × 219,311
  4. Step 4: Simplify right side
    400,600.54x = 121,241,235,190.68
  5. Step 5: Solve for x
    x = 121,241,235,190.68/400,600.54
  6. Step 6: Final answer
    x = 302,648.71

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1.5x scale

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.