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Finding the Fourth Proportional to 412,909.81, 619,426.27 and 146,647.96

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Solution

The fourth proportional to 412,909.81, 619,426.27 and 146,647.96 is: 219,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,909.81 : 619,426.27 = 146,647.96 : x
  2. Step 2: Convert to fraction form
    412,909.81/619,426.27 = 146,647.96/x
  3. Step 3: Cross multiply
    412,909.81x = 619,426.27 × 146,647.96
  4. Step 4: Simplify right side
    412,909.81x = 90,837,595,768.78
  5. Step 5: Solve for x
    x = 90,837,595,768.78/412,909.81
  6. Step 6: Final answer
    x = 219,993.80

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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.