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Finding the Fourth Proportional to 256,230.45, 384,509.70 and 149,614.20

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Solution

The fourth proportional to 256,230.45, 384,509.70 and 149,614.20 is: 224,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,230.45 : 384,509.70 = 149,614.20 : x
  2. Step 2: Convert to fraction form
    256,230.45/384,509.70 = 149,614.20/x
  3. Step 3: Cross multiply
    256,230.45x = 384,509.70 × 149,614.20
  4. Step 4: Simplify right side
    256,230.45x = 57,528,111,157.74
  5. Step 5: Solve for x
    x = 57,528,111,157.74/256,230.45
  6. Step 6: Final answer
    x = 224,517.07

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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.