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Finding the Fourth Proportional to 256,600, 354,114.40 and 143,441.60

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Solution

The fourth proportional to 256,600, 354,114.40 and 143,441.60 is: 197,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,600 : 354,114.40 = 143,441.60 : x
  2. Step 2: Convert to fraction form
    256,600/354,114.40 = 143,441.60/x
  3. Step 3: Cross multiply
    256,600x = 354,114.40 × 143,441.60
  4. Step 4: Simplify right side
    256,600x = 50,794,736,119.04
  5. Step 5: Solve for x
    x = 50,794,736,119.04/256,600
  6. Step 6: Final answer
    x = 197,952.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.