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Finding the Fourth Proportional to 285,071.88, 427,481.46 and 151,927.32

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Solution

The fourth proportional to 285,071.88, 427,481.46 and 151,927.32 is: 227,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,071.88 : 427,481.46 = 151,927.32 : x
  2. Step 2: Convert to fraction form
    285,071.88/427,481.46 = 151,927.32/x
  3. Step 3: Cross multiply
    285,071.88x = 427,481.46 × 151,927.32
  4. Step 4: Simplify right side
    285,071.88x = 64,946,112,567.49
  5. Step 5: Solve for x
    x = 64,946,112,567.49/285,071.88
  6. Step 6: Final answer
    x = 227,823.64

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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.