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Finding the Fourth Proportional to 412,782.18, 619,230.67 and 146,479.39

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Solution

The fourth proportional to 412,782.18, 619,230.67 and 146,479.39 is: 219,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,782.18 : 619,230.67 = 146,479.39 : x
  2. Step 2: Convert to fraction form
    412,782.18/619,230.67 = 146,479.39/x
  3. Step 3: Cross multiply
    412,782.18x = 619,230.67 × 146,479.39
  4. Step 4: Simplify right side
    412,782.18x = 90,704,529,720.56
  5. Step 5: Solve for x
    x = 90,704,529,720.56/412,782.18
  6. Step 6: Final answer
    x = 219,739.45

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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.