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Finding the Fourth Proportional to 256,608,002.40, 384,912,003.60 and 174,978,664.80

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Solution

The fourth proportional to 256,608,002.40, 384,912,003.60 and 174,978,664.80 is: 262,467,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,608,002.40 : 384,912,003.60 = 174,978,664.80 : x
  2. Step 2: Convert to fraction form
    256,608,002.40/384,912,003.60 = 174,978,664.80/x
  3. Step 3: Cross multiply
    256,608,002.40x = 384,912,003.60 × 174,978,664.80
  4. Step 4: Simplify right side
    256,608,002.40x = 67,351,388,455,420,800
  5. Step 5: Solve for x
    x = 67,351,388,455,420,800/256,608,002.40
  6. Step 6: Final answer
    x = 262,467,997.20

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1.5x scale

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.