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Finding the Fourth Proportional to 256,309.80, 384,464.70 and 149,584.20

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Solution

The fourth proportional to 256,309.80, 384,464.70 and 149,584.20 is: 224,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,309.80 : 384,464.70 = 149,584.20 : x
  2. Step 2: Convert to fraction form
    256,309.80/384,464.70 = 149,584.20/x
  3. Step 3: Cross multiply
    256,309.80x = 384,464.70 × 149,584.20
  4. Step 4: Simplify right side
    256,309.80x = 57,509,844,577.74
  5. Step 5: Solve for x
    x = 57,509,844,577.74/256,309.80
  6. Step 6: Final answer
    x = 224,376.30

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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.