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Finding the Fourth Proportional to 260,790, 359,913 and 146,066.76

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Solution

The fourth proportional to 260,790, 359,913 and 146,066.76 is: 201,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,790 : 359,913 = 146,066.76 : x
  2. Step 2: Convert to fraction form
    260,790/359,913 = 146,066.76/x
  3. Step 3: Cross multiply
    260,790x = 359,913 × 146,066.76
  4. Step 4: Simplify right side
    260,790x = 52,571,325,791.88
  5. Step 5: Solve for x
    x = 52,571,325,791.88/260,790
  6. Step 6: Final answer
    x = 201,584.90

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1.5x scale

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.