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Finding the Fourth Proportional to 412,912.40, 619,222.80 and 146,681.60

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Solution

The fourth proportional to 412,912.40, 619,222.80 and 146,681.60 is: 219,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,912.40 : 619,222.80 = 146,681.60 : x
  2. Step 2: Convert to fraction form
    412,912.40/619,222.80 = 146,681.60/x
  3. Step 3: Cross multiply
    412,912.40x = 619,222.80 × 146,681.60
  4. Step 4: Simplify right side
    412,912.40x = 90,828,591,060.48
  5. Step 5: Solve for x
    x = 90,828,591,060.48/412,912.40
  6. Step 6: Final answer
    x = 219,970.61

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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.