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Finding the Fourth Proportional to 256,222.80, 384,334.20 and 163,141.20

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Solution

The fourth proportional to 256,222.80, 384,334.20 and 163,141.20 is: 244,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,222.80 : 384,334.20 = 163,141.20 : x
  2. Step 2: Convert to fraction form
    256,222.80/384,334.20 = 163,141.20/x
  3. Step 3: Cross multiply
    256,222.80x = 384,334.20 × 163,141.20
  4. Step 4: Simplify right side
    256,222.80x = 62,700,742,589.04
  5. Step 5: Solve for x
    x = 62,700,742,589.04/256,222.80
  6. Step 6: Final answer
    x = 244,711.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.