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Finding the Fourth Proportional to 259,980.71, 389,712.72 and 180,928.86

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Solution

The fourth proportional to 259,980.71, 389,712.72 and 180,928.86 is: 271,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,980.71 : 389,712.72 = 180,928.86 : x
  2. Step 2: Convert to fraction form
    259,980.71/389,712.72 = 180,928.86/x
  3. Step 3: Cross multiply
    259,980.71x = 389,712.72 × 180,928.86
  4. Step 4: Simplify right side
    259,980.71x = 70,510,278,157.10
  5. Step 5: Solve for x
    x = 70,510,278,157.10/259,980.71
  6. Step 6: Final answer
    x = 271,213.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.