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Finding the Fourth Proportional to 278,472.52, 384,292.11 and 151,148.08

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Solution

The fourth proportional to 278,472.52, 384,292.11 and 151,148.08 is: 208,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,472.52 : 384,292.11 = 151,148.08 : x
  2. Step 2: Convert to fraction form
    278,472.52/384,292.11 = 151,148.08/x
  3. Step 3: Cross multiply
    278,472.52x = 384,292.11 × 151,148.08
  4. Step 4: Simplify right side
    278,472.52x = 58,085,014,585.65
  5. Step 5: Solve for x
    x = 58,085,014,585.65/278,472.52
  6. Step 6: Final answer
    x = 208,584.37

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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.