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Finding the Fourth Proportional to 412,912.40, 619,056.85 and 270,793.47

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Solution

The fourth proportional to 412,912.40, 619,056.85 and 270,793.47 is: 405,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,912.40 : 619,056.85 = 270,793.47 : x
  2. Step 2: Convert to fraction form
    412,912.40/619,056.85 = 270,793.47/x
  3. Step 3: Cross multiply
    412,912.40x = 619,056.85 × 270,793.47
  4. Step 4: Simplify right side
    412,912.40x = 167,636,552,538.77
  5. Step 5: Solve for x
    x = 167,636,552,538.77/412,912.40
  6. Step 6: Final answer
    x = 405,985.76

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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.