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Finding the Fourth Proportional to 306,023.49, 422,362.52 and 254,955.24

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Solution

The fourth proportional to 306,023.49, 422,362.52 and 254,955.24 is: 351,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,023.49 : 422,362.52 = 254,955.24 : x
  2. Step 2: Convert to fraction form
    306,023.49/422,362.52 = 254,955.24/x
  3. Step 3: Cross multiply
    306,023.49x = 422,362.52 × 254,955.24
  4. Step 4: Simplify right side
    306,023.49x = 107,683,537,653.61
  5. Step 5: Solve for x
    x = 107,683,537,653.61/306,023.49
  6. Step 6: Final answer
    x = 351,879.97

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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.