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Finding the Fourth Proportional to 256,099.20, 383,457.60 and 256,099.20

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Solution

The fourth proportional to 256,099.20, 383,457.60 and 256,099.20 is: 383,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.20 : 383,457.60 = 256,099.20 : x
  2. Step 2: Convert to fraction form
    256,099.20/383,457.60 = 256,099.20/x
  3. Step 3: Cross multiply
    256,099.20x = 383,457.60 × 256,099.20
  4. Step 4: Simplify right side
    256,099.20x = 98,203,184,593.92
  5. Step 5: Solve for x
    x = 98,203,184,593.92/256,099.20
  6. Step 6: Final answer
    x = 383,457.60

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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.