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Finding the Fourth Proportional to 278,295.86, 384,045.63 and 150,971.96

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Solution

The fourth proportional to 278,295.86, 384,045.63 and 150,971.96 is: 208,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,295.86 : 384,045.63 = 150,971.96 : x
  2. Step 2: Convert to fraction form
    278,295.86/384,045.63 = 150,971.96/x
  3. Step 3: Cross multiply
    278,295.86x = 384,045.63 × 150,971.96
  4. Step 4: Simplify right side
    278,295.86x = 57,980,121,490.53
  5. Step 5: Solve for x
    x = 57,980,121,490.53/278,295.86
  6. Step 6: Final answer
    x = 208,339.86

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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.