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Finding the Fourth Proportional to 301,009.56, 415,401.12 and 170,176.80

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Solution

The fourth proportional to 301,009.56, 415,401.12 and 170,176.80 is: 234,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,009.56 : 415,401.12 = 170,176.80 : x
  2. Step 2: Convert to fraction form
    301,009.56/415,401.12 = 170,176.80/x
  3. Step 3: Cross multiply
    301,009.56x = 415,401.12 × 170,176.80
  4. Step 4: Simplify right side
    301,009.56x = 70,691,633,318.02
  5. Step 5: Solve for x
    x = 70,691,633,318.02/301,009.56
  6. Step 6: Final answer
    x = 234,848.47

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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.