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Finding the Fourth Proportional to 278,294.92, 384,046.81 and 150,970.53

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Solution

The fourth proportional to 278,294.92, 384,046.81 and 150,970.53 is: 208,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,294.92 : 384,046.81 = 150,970.53 : x
  2. Step 2: Convert to fraction form
    278,294.92/384,046.81 = 150,970.53/x
  3. Step 3: Cross multiply
    278,294.92x = 384,046.81 × 150,970.53
  4. Step 4: Simplify right side
    278,294.92x = 57,979,750,450.51
  5. Step 5: Solve for x
    x = 57,979,750,450.51/278,294.92
  6. Step 6: Final answer
    x = 208,339.23

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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.