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Finding the Fourth Proportional to 285,905.34, 428,896.41 and 108,478.14

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Solution

The fourth proportional to 285,905.34, 428,896.41 and 108,478.14 is: 162,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,905.34 : 428,896.41 = 108,478.14 : x
  2. Step 2: Convert to fraction form
    285,905.34/428,896.41 = 108,478.14/x
  3. Step 3: Cross multiply
    285,905.34x = 428,896.41 × 108,478.14
  4. Step 4: Simplify right side
    285,905.34x = 46,525,884,809.48
  5. Step 5: Solve for x
    x = 46,525,884,809.48/285,905.34
  6. Step 6: Final answer
    x = 162,731.78

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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.