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Finding the Fourth Proportional to 264,920.40, 397,243.80 and 77,907.60

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Solution

The fourth proportional to 264,920.40, 397,243.80 and 77,907.60 is: 116,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,920.40 : 397,243.80 = 77,907.60 : x
  2. Step 2: Convert to fraction form
    264,920.40/397,243.80 = 77,907.60/x
  3. Step 3: Cross multiply
    264,920.40x = 397,243.80 × 77,907.60
  4. Step 4: Simplify right side
    264,920.40x = 30,948,311,072.88
  5. Step 5: Solve for x
    x = 30,948,311,072.88/264,920.40
  6. Step 6: Final answer
    x = 116,821.17

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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.