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Finding the Fourth Proportional to 343,778.75, 515,875.49 and 146,786.75

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Solution

The fourth proportional to 343,778.75, 515,875.49 and 146,786.75 is: 220,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,778.75 : 515,875.49 = 146,786.75 : x
  2. Step 2: Convert to fraction form
    343,778.75/515,875.49 = 146,786.75/x
  3. Step 3: Cross multiply
    343,778.75x = 515,875.49 × 146,786.75
  4. Step 4: Simplify right side
    343,778.75x = 75,723,686,581.76
  5. Step 5: Solve for x
    x = 75,723,686,581.76/343,778.75
  6. Step 6: Final answer
    x = 220,268.67

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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.