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Finding the Fourth Proportional to 256,838.40, 384,739.20 and 178,041.60

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Solution

The fourth proportional to 256,838.40, 384,739.20 and 178,041.60 is: 266,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,838.40 : 384,739.20 = 178,041.60 : x
  2. Step 2: Convert to fraction form
    256,838.40/384,739.20 = 178,041.60/x
  3. Step 3: Cross multiply
    256,838.40x = 384,739.20 × 178,041.60
  4. Step 4: Simplify right side
    256,838.40x = 68,499,582,750.72
  5. Step 5: Solve for x
    x = 68,499,582,750.72/256,838.40
  6. Step 6: Final answer
    x = 266,703.04

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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.