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Finding the Fourth Proportional to 256,872.40, 384,790.20 and 178,075.60

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Solution

The fourth proportional to 256,872.40, 384,790.20 and 178,075.60 is: 266,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,872.40 : 384,790.20 = 178,075.60 : x
  2. Step 2: Convert to fraction form
    256,872.40/384,790.20 = 178,075.60/x
  3. Step 3: Cross multiply
    256,872.40x = 384,790.20 × 178,075.60
  4. Step 4: Simplify right side
    256,872.40x = 68,521,745,739.12
  5. Step 5: Solve for x
    x = 68,521,745,739.12/256,872.40
  6. Step 6: Final answer
    x = 266,754.02

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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.