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Finding the Fourth Proportional to 427,271.40, 640,907.10 and 206,087.40

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Solution

The fourth proportional to 427,271.40, 640,907.10 and 206,087.40 is: 309,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,271.40 : 640,907.10 = 206,087.40 : x
  2. Step 2: Convert to fraction form
    427,271.40/640,907.10 = 206,087.40/x
  3. Step 3: Cross multiply
    427,271.40x = 640,907.10 × 206,087.40
  4. Step 4: Simplify right side
    427,271.40x = 132,082,877,880.54
  5. Step 5: Solve for x
    x = 132,082,877,880.54/427,271.40
  6. Step 6: Final answer
    x = 309,131.10

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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.