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Finding the Fourth Proportional to 256,972.80, 386,380.80 and 216,422.40

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Solution

The fourth proportional to 256,972.80, 386,380.80 and 216,422.40 is: 325,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,972.80 : 386,380.80 = 216,422.40 : x
  2. Step 2: Convert to fraction form
    256,972.80/386,380.80 = 216,422.40/x
  3. Step 3: Cross multiply
    256,972.80x = 386,380.80 × 216,422.40
  4. Step 4: Simplify right side
    256,972.80x = 83,621,460,049.92
  5. Step 5: Solve for x
    x = 83,621,460,049.92/256,972.80
  6. Step 6: Final answer
    x = 325,409.77

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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.