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Finding the Fourth Proportional to 278,302.83, 384,059.01 and 150,979.32

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Solution

The fourth proportional to 278,302.83, 384,059.01 and 150,979.32 is: 208,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,302.83 : 384,059.01 = 150,979.32 : x
  2. Step 2: Convert to fraction form
    278,302.83/384,059.01 = 150,979.32/x
  3. Step 3: Cross multiply
    278,302.83x = 384,059.01 × 150,979.32
  4. Step 4: Simplify right side
    278,302.83x = 57,984,968,169.67
  5. Step 5: Solve for x
    x = 57,984,968,169.67/278,302.83
  6. Step 6: Final answer
    x = 208,352.06

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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.