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Finding the Fourth Proportional to 278,745.96, 384,673.54 and 151,424.04

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Solution

The fourth proportional to 278,745.96, 384,673.54 and 151,424.04 is: 208,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,745.96 : 384,673.54 = 151,424.04 : x
  2. Step 2: Convert to fraction form
    278,745.96/384,673.54 = 151,424.04/x
  3. Step 3: Cross multiply
    278,745.96x = 384,673.54 × 151,424.04
  4. Step 4: Simplify right side
    278,745.96x = 58,248,821,507.90
  5. Step 5: Solve for x
    x = 58,248,821,507.90/278,745.96
  6. Step 6: Final answer
    x = 208,967.41

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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.