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Finding the Fourth Proportional to 256,970.57, 354,615.09 and 142,246.79

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Solution

The fourth proportional to 256,970.57, 354,615.09 and 142,246.79 is: 196,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,970.57 : 354,615.09 = 142,246.79 : x
  2. Step 2: Convert to fraction form
    256,970.57/354,615.09 = 142,246.79/x
  3. Step 3: Cross multiply
    256,970.57x = 354,615.09 × 142,246.79
  4. Step 4: Simplify right side
    256,970.57x = 50,442,856,998.41
  5. Step 5: Solve for x
    x = 50,442,856,998.41/256,970.57
  6. Step 6: Final answer
    x = 196,298.19

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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.