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Finding the Fourth Proportional to 329,840.40, 494,857.80 and 105,232.80

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Solution

The fourth proportional to 329,840.40, 494,857.80 and 105,232.80 is: 157,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,840.40 : 494,857.80 = 105,232.80 : x
  2. Step 2: Convert to fraction form
    329,840.40/494,857.80 = 105,232.80/x
  3. Step 3: Cross multiply
    329,840.40x = 494,857.80 × 105,232.80
  4. Step 4: Simplify right side
    329,840.40x = 52,075,271,895.84
  5. Step 5: Solve for x
    x = 52,075,271,895.84/329,840.40
  6. Step 6: Final answer
    x = 157,880.21

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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.