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Finding the Fourth Proportional to 395,138, 545,299.08 and 216,290

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Solution

The fourth proportional to 395,138, 545,299.08 and 216,290 is: 298,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,138 : 545,299.08 = 216,290 : x
  2. Step 2: Convert to fraction form
    395,138/545,299.08 = 216,290/x
  3. Step 3: Cross multiply
    395,138x = 545,299.08 × 216,290
  4. Step 4: Simplify right side
    395,138x = 117,942,738,013.20
  5. Step 5: Solve for x
    x = 117,942,738,013.20/395,138
  6. Step 6: Final answer
    x = 298,484.93

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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.