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Finding the Fourth Proportional to 405,915.44, 560,137.52 and 222,116.72

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Solution

The fourth proportional to 405,915.44, 560,137.52 and 222,116.72 is: 306,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,915.44 : 560,137.52 = 222,116.72 : x
  2. Step 2: Convert to fraction form
    405,915.44/560,137.52 = 222,116.72/x
  3. Step 3: Cross multiply
    405,915.44x = 560,137.52 × 222,116.72
  4. Step 4: Simplify right side
    405,915.44x = 124,415,908,691.33
  5. Step 5: Solve for x
    x = 124,415,908,691.33/405,915.44
  6. Step 6: Final answer
    x = 306,506.96

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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.