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Finding the Fourth Proportional to 412,964.40, 619,300.80 and 146,733.60

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Solution

The fourth proportional to 412,964.40, 619,300.80 and 146,733.60 is: 220,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,964.40 : 619,300.80 = 146,733.60 : x
  2. Step 2: Convert to fraction form
    412,964.40/619,300.80 = 146,733.60/x
  3. Step 3: Cross multiply
    412,964.40x = 619,300.80 × 146,733.60
  4. Step 4: Simplify right side
    412,964.40x = 90,872,235,866.88
  5. Step 5: Solve for x
    x = 90,872,235,866.88/412,964.40
  6. Step 6: Final answer
    x = 220,048.59

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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.