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Finding the Fourth Proportional to 300,970.89, 415,344.51 and 165,017.25

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Solution

The fourth proportional to 300,970.89, 415,344.51 and 165,017.25 is: 227,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,970.89 : 415,344.51 = 165,017.25 : x
  2. Step 2: Convert to fraction form
    300,970.89/415,344.51 = 165,017.25/x
  3. Step 3: Cross multiply
    300,970.89x = 415,344.51 × 165,017.25
  4. Step 4: Simplify right side
    300,970.89x = 68,539,008,842.80
  5. Step 5: Solve for x
    x = 68,539,008,842.80/300,970.89
  6. Step 6: Final answer
    x = 227,726.37

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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.