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Finding the Fourth Proportional to 388,137.92, 535,630.20 and 216,052.14

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Solution

The fourth proportional to 388,137.92, 535,630.20 and 216,052.14 is: 298,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,137.92 : 535,630.20 = 216,052.14 : x
  2. Step 2: Convert to fraction form
    388,137.92/535,630.20 = 216,052.14/x
  3. Step 3: Cross multiply
    388,137.92x = 535,630.20 × 216,052.14
  4. Step 4: Simplify right side
    388,137.92x = 115,724,050,958.63
  5. Step 5: Solve for x
    x = 115,724,050,958.63/388,137.92
  6. Step 6: Final answer
    x = 298,151.88

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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.