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Finding the Fourth Proportional to 388,944, 536,743.20 and 210,096

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Solution

The fourth proportional to 388,944, 536,743.20 and 210,096 is: 289,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,944 : 536,743.20 = 210,096 : x
  2. Step 2: Convert to fraction form
    388,944/536,743.20 = 210,096/x
  3. Step 3: Cross multiply
    388,944x = 536,743.20 × 210,096
  4. Step 4: Simplify right side
    388,944x = 112,767,599,347.20
  5. Step 5: Solve for x
    x = 112,767,599,347.20/388,944
  6. Step 6: Final answer
    x = 289,932.74

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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.