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Finding the Fourth Proportional to 382,788, 573,988.95 and 222,915.60

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Solution

The fourth proportional to 382,788, 573,988.95 and 222,915.60 is: 334,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,788 : 573,988.95 = 222,915.60 : x
  2. Step 2: Convert to fraction form
    382,788/573,988.95 = 222,915.60/x
  3. Step 3: Cross multiply
    382,788x = 573,988.95 × 222,915.60
  4. Step 4: Simplify right side
    382,788x = 127,951,091,182.62
  5. Step 5: Solve for x
    x = 127,951,091,182.62/382,788
  6. Step 6: Final answer
    x = 334,260.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.