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Finding the Fourth Proportional to 290,042.44, 435,046.08 and 172,462

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Solution

The fourth proportional to 290,042.44, 435,046.08 and 172,462 is: 258,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,042.44 : 435,046.08 = 172,462 : x
  2. Step 2: Convert to fraction form
    290,042.44/435,046.08 = 172,462/x
  3. Step 3: Cross multiply
    290,042.44x = 435,046.08 × 172,462
  4. Step 4: Simplify right side
    290,042.44x = 75,028,917,048.96
  5. Step 5: Solve for x
    x = 75,028,917,048.96/290,042.44
  6. Step 6: Final answer
    x = 258,682.55

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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.