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Finding the Fourth Proportional to 278,652.20, 384,657.72 and 188,130.76

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Solution

The fourth proportional to 278,652.20, 384,657.72 and 188,130.76 is: 259,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,652.20 : 384,657.72 = 188,130.76 : x
  2. Step 2: Convert to fraction form
    278,652.20/384,657.72 = 188,130.76/x
  3. Step 3: Cross multiply
    278,652.20x = 384,657.72 × 188,130.76
  4. Step 4: Simplify right side
    278,652.20x = 72,365,949,203.47
  5. Step 5: Solve for x
    x = 72,365,949,203.47/278,652.20
  6. Step 6: Final answer
    x = 259,699.90

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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.