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Finding the Fourth Proportional to 278,294.86, 384,044.25 and 150,970.96

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Solution

The fourth proportional to 278,294.86, 384,044.25 and 150,970.96 is: 208,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,294.86 : 384,044.25 = 150,970.96 : x
  2. Step 2: Convert to fraction form
    278,294.86/384,044.25 = 150,970.96/x
  3. Step 3: Cross multiply
    278,294.86x = 384,044.25 × 150,970.96
  4. Step 4: Simplify right side
    278,294.86x = 57,979,529,104.98
  5. Step 5: Solve for x
    x = 57,979,529,104.98/278,294.86
  6. Step 6: Final answer
    x = 208,338.48

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1.5x scale

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.