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Finding the Fourth Proportional to 256,818.48, 384,478.20 and 149,874.72

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Solution

The fourth proportional to 256,818.48, 384,478.20 and 149,874.72 is: 224,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,818.48 : 384,478.20 = 149,874.72 : x
  2. Step 2: Convert to fraction form
    256,818.48/384,478.20 = 149,874.72/x
  3. Step 3: Cross multiply
    256,818.48x = 384,478.20 × 149,874.72
  4. Step 4: Simplify right side
    256,818.48x = 57,623,562,571.10
  5. Step 5: Solve for x
    x = 57,623,562,571.10/256,818.48
  6. Step 6: Final answer
    x = 224,374.67

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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.