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Finding the Fourth Proportional to 300,837, 415,159.65 and 164,869.84

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Solution

The fourth proportional to 300,837, 415,159.65 and 164,869.84 is: 227,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,837 : 415,159.65 = 164,869.84 : x
  2. Step 2: Convert to fraction form
    300,837/415,159.65 = 164,869.84/x
  3. Step 3: Cross multiply
    300,837x = 415,159.65 × 164,869.84
  4. Step 4: Simplify right side
    300,837x = 68,447,305,069.96
  5. Step 5: Solve for x
    x = 68,447,305,069.96/300,837
  6. Step 6: Final answer
    x = 227,522.89

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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.