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Finding the Fourth Proportional to 412,912.68, 619,430.58 and 146,650.86

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Solution

The fourth proportional to 412,912.68, 619,430.58 and 146,650.86 is: 219,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,912.68 : 619,430.58 = 146,650.86 : x
  2. Step 2: Convert to fraction form
    412,912.68/619,430.58 = 146,650.86/x
  3. Step 3: Cross multiply
    412,912.68x = 619,430.58 × 146,650.86
  4. Step 4: Simplify right side
    412,912.68x = 90,840,027,267.30
  5. Step 5: Solve for x
    x = 90,840,027,267.30/412,912.68
  6. Step 6: Final answer
    x = 219,998.15

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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.