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Finding the Fourth Proportional to 388,946, 536,745.96 and 210,098

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Solution

The fourth proportional to 388,946, 536,745.96 and 210,098 is: 289,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,946 : 536,745.96 = 210,098 : x
  2. Step 2: Convert to fraction form
    388,946/536,745.96 = 210,098/x
  3. Step 3: Cross multiply
    388,946x = 536,745.96 × 210,098
  4. Step 4: Simplify right side
    388,946x = 112,769,252,704.08
  5. Step 5: Solve for x
    x = 112,769,252,704.08/388,946
  6. Step 6: Final answer
    x = 289,935.50

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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.