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Finding the Fourth Proportional to 256,041.20, 383,284.20 and 228,047.60

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Solution

The fourth proportional to 256,041.20, 383,284.20 and 228,047.60 is: 341,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,041.20 : 383,284.20 = 228,047.60 : x
  2. Step 2: Convert to fraction form
    256,041.20/383,284.20 = 228,047.60/x
  3. Step 3: Cross multiply
    256,041.20x = 383,284.20 × 228,047.60
  4. Step 4: Simplify right side
    256,041.20x = 87,407,041,927.92
  5. Step 5: Solve for x
    x = 87,407,041,927.92/256,041.20
  6. Step 6: Final answer
    x = 341,378.82

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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.