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Finding the Fourth Proportional to 278,604.67, 384,478.98 and 151,280.57

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Solution

The fourth proportional to 278,604.67, 384,478.98 and 151,280.57 is: 208,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,604.67 : 384,478.98 = 151,280.57 : x
  2. Step 2: Convert to fraction form
    278,604.67/384,478.98 = 151,280.57/x
  3. Step 3: Cross multiply
    278,604.67x = 384,478.98 × 151,280.57
  4. Step 4: Simplify right side
    278,604.67x = 58,164,199,247.42
  5. Step 5: Solve for x
    x = 58,164,199,247.42/278,604.67
  6. Step 6: Final answer
    x = 208,769.65

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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.