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Finding the Fourth Proportional to 256,990.28, 354,482.04 and 206,125.06

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Solution

The fourth proportional to 256,990.28, 354,482.04 and 206,125.06 is: 284,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,990.28 : 354,482.04 = 206,125.06 : x
  2. Step 2: Convert to fraction form
    256,990.28/354,482.04 = 206,125.06/x
  3. Step 3: Cross multiply
    256,990.28x = 354,482.04 × 206,125.06
  4. Step 4: Simplify right side
    256,990.28x = 73,067,631,763.92
  5. Step 5: Solve for x
    x = 73,067,631,763.92/256,990.28
  6. Step 6: Final answer
    x = 284,320.60

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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.