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Finding the Fourth Proportional to 278,315.44, 384,076.05 and 150,991.03

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Solution

The fourth proportional to 278,315.44, 384,076.05 and 150,991.03 is: 208,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,315.44 : 384,076.05 = 150,991.03 : x
  2. Step 2: Convert to fraction form
    278,315.44/384,076.05 = 150,991.03/x
  3. Step 3: Cross multiply
    278,315.44x = 384,076.05 × 150,991.03
  4. Step 4: Simplify right side
    278,315.44x = 57,992,038,301.71
  5. Step 5: Solve for x
    x = 57,992,038,301.71/278,315.44
  6. Step 6: Final answer
    x = 208,368.03

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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.