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Finding the Fourth Proportional to 412,520.80, 619,364.40 and 255,056.80

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Solution

The fourth proportional to 412,520.80, 619,364.40 and 255,056.80 is: 382,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,520.80 : 619,364.40 = 255,056.80 : x
  2. Step 2: Convert to fraction form
    412,520.80/619,364.40 = 255,056.80/x
  3. Step 3: Cross multiply
    412,520.80x = 619,364.40 × 255,056.80
  4. Step 4: Simplify right side
    412,520.80x = 157,973,101,897.92
  5. Step 5: Solve for x
    x = 157,973,101,897.92/412,520.80
  6. Step 6: Final answer
    x = 382,945.79

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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.