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Finding the Fourth Proportional to 263,292.63, 363,344.72 and 142,434.42

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Solution

The fourth proportional to 263,292.63, 363,344.72 and 142,434.42 is: 196,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,292.63 : 363,344.72 = 142,434.42 : x
  2. Step 2: Convert to fraction form
    263,292.63/363,344.72 = 142,434.42/x
  3. Step 3: Cross multiply
    263,292.63x = 363,344.72 × 142,434.42
  4. Step 4: Simplify right side
    263,292.63x = 51,752,793,741.09
  5. Step 5: Solve for x
    x = 51,752,793,741.09/263,292.63
  6. Step 6: Final answer
    x = 196,559.98

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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.