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Finding the Fourth Proportional to 397,047.90, 595,443.87 and 130,745.04

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Solution

The fourth proportional to 397,047.90, 595,443.87 and 130,745.04 is: 196,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,047.90 : 595,443.87 = 130,745.04 : x
  2. Step 2: Convert to fraction form
    397,047.90/595,443.87 = 130,745.04/x
  3. Step 3: Cross multiply
    397,047.90x = 595,443.87 × 130,745.04
  4. Step 4: Simplify right side
    397,047.90x = 77,851,332,600.90
  5. Step 5: Solve for x
    x = 77,851,332,600.90/397,047.90
  6. Step 6: Final answer
    x = 196,075.42

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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.