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Finding the Fourth Proportional to 278,833.68, 384,789.72 and 151,509.72

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Solution

The fourth proportional to 278,833.68, 384,789.72 and 151,509.72 is: 209,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,833.68 : 384,789.72 = 151,509.72 : x
  2. Step 2: Convert to fraction form
    278,833.68/384,789.72 = 151,509.72/x
  3. Step 3: Cross multiply
    278,833.68x = 384,789.72 × 151,509.72
  4. Step 4: Simplify right side
    278,833.68x = 58,299,382,736.08
  5. Step 5: Solve for x
    x = 58,299,382,736.08/278,833.68
  6. Step 6: Final answer
    x = 209,083.00

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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.