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Finding the Fourth Proportional to 256,048.46, 353,346.60 and 142,871.22

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Solution

The fourth proportional to 256,048.46, 353,346.60 and 142,871.22 is: 197,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,048.46 : 353,346.60 = 142,871.22 : x
  2. Step 2: Convert to fraction form
    256,048.46/353,346.60 = 142,871.22/x
  3. Step 3: Cross multiply
    256,048.46x = 353,346.60 × 142,871.22
  4. Step 4: Simplify right side
    256,048.46x = 50,483,059,824.85
  5. Step 5: Solve for x
    x = 50,483,059,824.85/256,048.46
  6. Step 6: Final answer
    x = 197,162.13

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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.