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Finding the Fourth Proportional to 256,057.61, 353,370.58 and 142,880.36

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Solution

The fourth proportional to 256,057.61, 353,370.58 and 142,880.36 is: 197,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,057.61 : 353,370.58 = 142,880.36 : x
  2. Step 2: Convert to fraction form
    256,057.61/353,370.58 = 142,880.36/x
  3. Step 3: Cross multiply
    256,057.61x = 353,370.58 × 142,880.36
  4. Step 4: Simplify right side
    256,057.61x = 50,489,713,559.76
  5. Step 5: Solve for x
    x = 50,489,713,559.76/256,057.61
  6. Step 6: Final answer
    x = 197,181.07

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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.