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Finding the Fourth Proportional to 388,944, 536,729.28 and 219,168

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Solution

The fourth proportional to 388,944, 536,729.28 and 219,168 is: 302,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,944 : 536,729.28 = 219,168 : x
  2. Step 2: Convert to fraction form
    388,944/536,729.28 = 219,168/x
  3. Step 3: Cross multiply
    388,944x = 536,729.28 × 219,168
  4. Step 4: Simplify right side
    388,944x = 117,633,882,839.04
  5. Step 5: Solve for x
    x = 117,633,882,839.04/388,944
  6. Step 6: Final answer
    x = 302,444.27

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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.