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Finding the Fourth Proportional to 395,244, 545,436.72 and 216,396

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Solution

The fourth proportional to 395,244, 545,436.72 and 216,396 is: 298,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,244 : 545,436.72 = 216,396 : x
  2. Step 2: Convert to fraction form
    395,244/545,436.72 = 216,396/x
  3. Step 3: Cross multiply
    395,244x = 545,436.72 × 216,396
  4. Step 4: Simplify right side
    395,244x = 118,030,324,461.12
  5. Step 5: Solve for x
    x = 118,030,324,461.12/395,244
  6. Step 6: Final answer
    x = 298,626.48

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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.