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Finding the Fourth Proportional to 412,934.40, 619,255.80 and 146,703.60

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Solution

The fourth proportional to 412,934.40, 619,255.80 and 146,703.60 is: 220,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,934.40 : 619,255.80 = 146,703.60 : x
  2. Step 2: Convert to fraction form
    412,934.40/619,255.80 = 146,703.60/x
  3. Step 3: Cross multiply
    412,934.40x = 619,255.80 × 146,703.60
  4. Step 4: Simplify right side
    412,934.40x = 90,847,055,180.88
  5. Step 5: Solve for x
    x = 90,847,055,180.88/412,934.40
  6. Step 6: Final answer
    x = 220,003.60

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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.