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Finding the Fourth Proportional to 550,270.45, 825,411 and 208,622.01

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Solution

The fourth proportional to 550,270.45, 825,411 and 208,622.01 is: 312,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,270.45 : 825,411 = 208,622.01 : x
  2. Step 2: Convert to fraction form
    550,270.45/825,411 = 208,622.01/x
  3. Step 3: Cross multiply
    550,270.45x = 825,411 × 208,622.01
  4. Step 4: Simplify right side
    550,270.45x = 172,198,901,896.11
  5. Step 5: Solve for x
    x = 172,198,901,896.11/550,270.45
  6. Step 6: Final answer
    x = 312,935.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.