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Finding the Fourth Proportional to 278,834.31, 384,790.56 and 151,509.87

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Solution

The fourth proportional to 278,834.31, 384,790.56 and 151,509.87 is: 209,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,834.31 : 384,790.56 = 151,509.87 : x
  2. Step 2: Convert to fraction form
    278,834.31/384,790.56 = 151,509.87/x
  3. Step 3: Cross multiply
    278,834.31x = 384,790.56 × 151,509.87
  4. Step 4: Simplify right side
    278,834.31x = 58,299,567,722.83
  5. Step 5: Solve for x
    x = 58,299,567,722.83/278,834.31
  6. Step 6: Final answer
    x = 209,083.19

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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.