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Finding the Fourth Proportional to 278,894.94, 384,864.17 and 151,567.80

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Solution

The fourth proportional to 278,894.94, 384,864.17 and 151,567.80 is: 209,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,894.94 : 384,864.17 = 151,567.80 : x
  2. Step 2: Convert to fraction form
    278,894.94/384,864.17 = 151,567.80/x
  3. Step 3: Cross multiply
    278,894.94x = 384,864.17 × 151,567.80
  4. Step 4: Simplify right side
    278,894.94x = 58,333,015,545.73
  5. Step 5: Solve for x
    x = 58,333,015,545.73/278,894.94
  6. Step 6: Final answer
    x = 209,157.67

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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.