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Finding the Fourth Proportional to 256,039.88, 353,334.78 and 142,862.63

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Solution

The fourth proportional to 256,039.88, 353,334.78 and 142,862.63 is: 197,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,039.88 : 353,334.78 = 142,862.63 : x
  2. Step 2: Convert to fraction form
    256,039.88/353,334.78 = 142,862.63/x
  3. Step 3: Cross multiply
    256,039.88x = 353,334.78 × 142,862.63
  4. Step 4: Simplify right side
    256,039.88x = 50,478,334,174.60
  5. Step 5: Solve for x
    x = 50,478,334,174.60/256,039.88
  6. Step 6: Final answer
    x = 197,150.28

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1.5x scale

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.