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Finding the Fourth Proportional to 275,402, 380,691.42 and 229,815.20

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Solution

The fourth proportional to 275,402, 380,691.42 and 229,815.20 is: 317,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,402 : 380,691.42 = 229,815.20 : x
  2. Step 2: Convert to fraction form
    275,402/380,691.42 = 229,815.20/x
  3. Step 3: Cross multiply
    275,402x = 380,691.42 × 229,815.20
  4. Step 4: Simplify right side
    275,402x = 87,488,674,825.58
  5. Step 5: Solve for x
    x = 87,488,674,825.58/275,402
  6. Step 6: Final answer
    x = 317,676.25

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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.