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Finding the Fourth Proportional to 259,617.80, 389,742.60 and 164,847.80

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Solution

The fourth proportional to 259,617.80, 389,742.60 and 164,847.80 is: 247,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,617.80 : 389,742.60 = 164,847.80 : x
  2. Step 2: Convert to fraction form
    259,617.80/389,742.60 = 164,847.80/x
  3. Step 3: Cross multiply
    259,617.80x = 389,742.60 × 164,847.80
  4. Step 4: Simplify right side
    259,617.80x = 64,248,210,176.28
  5. Step 5: Solve for x
    x = 64,248,210,176.28/259,617.80
  6. Step 6: Final answer
    x = 247,472.28

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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.