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Finding the Fourth Proportional to 306,456.74, 422,924.02 and 255,384.02

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Solution

The fourth proportional to 306,456.74, 422,924.02 and 255,384.02 is: 352,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,456.74 : 422,924.02 = 255,384.02 : x
  2. Step 2: Convert to fraction form
    306,456.74/422,924.02 = 255,384.02/x
  3. Step 3: Cross multiply
    306,456.74x = 422,924.02 × 255,384.02
  4. Step 4: Simplify right side
    306,456.74x = 108,008,036,382.16
  5. Step 5: Solve for x
    x = 108,008,036,382.16/306,456.74
  6. Step 6: Final answer
    x = 352,441.38

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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.