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Finding the Fourth Proportional to 412,909.68, 619,426.08 and 146,647.84

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Solution

The fourth proportional to 412,909.68, 619,426.08 and 146,647.84 is: 219,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,909.68 : 619,426.08 = 146,647.84 : x
  2. Step 2: Convert to fraction form
    412,909.68/619,426.08 = 146,647.84/x
  3. Step 3: Cross multiply
    412,909.68x = 619,426.08 × 146,647.84
  4. Step 4: Simplify right side
    412,909.68x = 90,837,496,671.67
  5. Step 5: Solve for x
    x = 90,837,496,671.67/412,909.68
  6. Step 6: Final answer
    x = 219,993.62

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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.