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Finding the Fourth Proportional to 256,757, 354,205.36 and 166,142.18

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Solution

The fourth proportional to 256,757, 354,205.36 and 166,142.18 is: 229,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,757 : 354,205.36 = 166,142.18 : x
  2. Step 2: Convert to fraction form
    256,757/354,205.36 = 166,142.18/x
  3. Step 3: Cross multiply
    256,757x = 354,205.36 × 166,142.18
  4. Step 4: Simplify right side
    256,757x = 58,848,450,678.08
  5. Step 5: Solve for x
    x = 58,848,450,678.08/256,757
  6. Step 6: Final answer
    x = 229,199.01

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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.