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Finding the Fourth Proportional to 412,909.40, 619,052.36 and 270,790.47

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Solution

The fourth proportional to 412,909.40, 619,052.36 and 270,790.47 is: 405,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,909.40 : 619,052.36 = 270,790.47 : x
  2. Step 2: Convert to fraction form
    412,909.40/619,052.36 = 270,790.47/x
  3. Step 3: Cross multiply
    412,909.40x = 619,052.36 × 270,790.47
  4. Step 4: Simplify right side
    412,909.40x = 167,633,478,165.06
  5. Step 5: Solve for x
    x = 167,633,478,165.06/412,909.40
  6. Step 6: Final answer
    x = 405,981.26

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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.