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Finding the Fourth Proportional to 306,308.32, 422,643.54 and 178,959.31

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Solution

The fourth proportional to 306,308.32, 422,643.54 and 178,959.31 is: 246,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,308.32 : 422,643.54 = 178,959.31 : x
  2. Step 2: Convert to fraction form
    306,308.32/422,643.54 = 178,959.31/x
  3. Step 3: Cross multiply
    306,308.32x = 422,643.54 × 178,959.31
  4. Step 4: Simplify right side
    306,308.32x = 75,635,996,294.36
  5. Step 5: Solve for x
    x = 75,635,996,294.36/306,308.32
  6. Step 6: Final answer
    x = 246,927.66

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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.