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Finding the Fourth Proportional to 300,973.14, 415,347.62 and 165,019.50

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Solution

The fourth proportional to 300,973.14, 415,347.62 and 165,019.50 is: 227,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,973.14 : 415,347.62 = 165,019.50 : x
  2. Step 2: Convert to fraction form
    300,973.14/415,347.62 = 165,019.50/x
  3. Step 3: Cross multiply
    300,973.14x = 415,347.62 × 165,019.50
  4. Step 4: Simplify right side
    300,973.14x = 68,540,455,753.49
  5. Step 5: Solve for x
    x = 68,540,455,753.49/300,973.14
  6. Step 6: Final answer
    x = 227,729.48

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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.