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Finding the Fourth Proportional to 412,938.80, 619,456.80 and 146,643.20

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Solution

The fourth proportional to 412,938.80, 619,456.80 and 146,643.20 is: 219,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,938.80 : 619,456.80 = 146,643.20 : x
  2. Step 2: Convert to fraction form
    412,938.80/619,456.80 = 146,643.20/x
  3. Step 3: Cross multiply
    412,938.80x = 619,456.80 × 146,643.20
  4. Step 4: Simplify right side
    412,938.80x = 90,839,127,413.76
  5. Step 5: Solve for x
    x = 90,839,127,413.76/412,938.80
  6. Step 6: Final answer
    x = 219,982.06

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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.