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Finding the Fourth Proportional to 306,307.32, 422,642.16 and 178,958.31

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Solution

The fourth proportional to 306,307.32, 422,642.16 and 178,958.31 is: 246,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,307.32 : 422,642.16 = 178,958.31 : x
  2. Step 2: Convert to fraction form
    306,307.32/422,642.16 = 178,958.31/x
  3. Step 3: Cross multiply
    306,307.32x = 422,642.16 × 178,958.31
  4. Step 4: Simplify right side
    306,307.32x = 75,635,326,688.35
  5. Step 5: Solve for x
    x = 75,635,326,688.35/306,307.32
  6. Step 6: Final answer
    x = 246,926.28

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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.