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Finding the Fourth Proportional to 397,291.42, 595,955.48 and 131,075.20

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Solution

The fourth proportional to 397,291.42, 595,955.48 and 131,075.20 is: 196,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,291.42 : 595,955.48 = 131,075.20 : x
  2. Step 2: Convert to fraction form
    397,291.42/595,955.48 = 131,075.20/x
  3. Step 3: Cross multiply
    397,291.42x = 595,955.48 × 131,075.20
  4. Step 4: Simplify right side
    397,291.42x = 78,114,983,732.10
  5. Step 5: Solve for x
    x = 78,114,983,732.10/397,291.42
  6. Step 6: Final answer
    x = 196,618.85

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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.