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Finding the Fourth Proportional to 256,760.69, 354,210.36 and 166,145.94

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Solution

The fourth proportional to 256,760.69, 354,210.36 and 166,145.94 is: 229,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,760.69 : 354,210.36 = 166,145.94 : x
  2. Step 2: Convert to fraction form
    256,760.69/354,210.36 = 166,145.94/x
  3. Step 3: Cross multiply
    256,760.69x = 354,210.36 × 166,145.94
  4. Step 4: Simplify right side
    256,760.69x = 58,850,615,171.27
  5. Step 5: Solve for x
    x = 58,850,615,171.27/256,760.69
  6. Step 6: Final answer
    x = 229,204.15

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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.