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Finding the Fourth Proportional to 345,165, 516,999.66 and 167,299.92

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Solution

The fourth proportional to 345,165, 516,999.66 and 167,299.92 is: 250,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,165 : 516,999.66 = 167,299.92 : x
  2. Step 2: Convert to fraction form
    345,165/516,999.66 = 167,299.92/x
  3. Step 3: Cross multiply
    345,165x = 516,999.66 × 167,299.92
  4. Step 4: Simplify right side
    345,165x = 86,494,001,758.03
  5. Step 5: Solve for x
    x = 86,494,001,758.03/345,165
  6. Step 6: Final answer
    x = 250,587.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.