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Finding the Fourth Proportional to 263,584.80, 395,636.40 and 130,615.20

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Solution

The fourth proportional to 263,584.80, 395,636.40 and 130,615.20 is: 196,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,584.80 : 395,636.40 = 130,615.20 : x
  2. Step 2: Convert to fraction form
    263,584.80/395,636.40 = 130,615.20/x
  3. Step 3: Cross multiply
    263,584.80x = 395,636.40 × 130,615.20
  4. Step 4: Simplify right side
    263,584.80x = 51,676,127,513.28
  5. Step 5: Solve for x
    x = 51,676,127,513.28/263,584.80
  6. Step 6: Final answer
    x = 196,051.24

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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.