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Finding the Fourth Proportional to 301,074.34, 415,488.31 and 165,100.20

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Solution

The fourth proportional to 301,074.34, 415,488.31 and 165,100.20 is: 227,841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,074.34 : 415,488.31 = 165,100.20 : x
  2. Step 2: Convert to fraction form
    301,074.34/415,488.31 = 165,100.20/x
  3. Step 3: Cross multiply
    301,074.34x = 415,488.31 × 165,100.20
  4. Step 4: Simplify right side
    301,074.34x = 68,597,202,740.74
  5. Step 5: Solve for x
    x = 68,597,202,740.74/301,074.34
  6. Step 6: Final answer
    x = 227,841.41

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1.5x scale

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.