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Finding the Fourth Proportional to 278,487.09, 384,312.65 and 151,162.65

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Solution

The fourth proportional to 278,487.09, 384,312.65 and 151,162.65 is: 208,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,487.09 : 384,312.65 = 151,162.65 : x
  2. Step 2: Convert to fraction form
    278,487.09/384,312.65 = 151,162.65/x
  3. Step 3: Cross multiply
    278,487.09x = 384,312.65 × 151,162.65
  4. Step 4: Simplify right side
    278,487.09x = 58,093,717,846.71
  5. Step 5: Solve for x
    x = 58,093,717,846.71/278,487.09
  6. Step 6: Final answer
    x = 208,604.71

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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.