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Finding the Fourth Proportional to 301,042.72, 415,451.70 and 172,002.43

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Solution

The fourth proportional to 301,042.72, 415,451.70 and 172,002.43 is: 237,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,042.72 : 415,451.70 = 172,002.43 : x
  2. Step 2: Convert to fraction form
    301,042.72/415,451.70 = 172,002.43/x
  3. Step 3: Cross multiply
    301,042.72x = 415,451.70 × 172,002.43
  4. Step 4: Simplify right side
    301,042.72x = 71,458,701,947.63
  5. Step 5: Solve for x
    x = 71,458,701,947.63/301,042.72
  6. Step 6: Final answer
    x = 237,370.64

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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.