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Finding the Fourth Proportional to 511,231.80, 766,847.70 and 421,030.20

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Solution

The fourth proportional to 511,231.80, 766,847.70 and 421,030.20 is: 631,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,231.80 : 766,847.70 = 421,030.20 : x
  2. Step 2: Convert to fraction form
    511,231.80/766,847.70 = 421,030.20/x
  3. Step 3: Cross multiply
    511,231.80x = 766,847.70 × 421,030.20
  4. Step 4: Simplify right side
    511,231.80x = 322,866,040,500.54
  5. Step 5: Solve for x
    x = 322,866,040,500.54/511,231.80
  6. Step 6: Final answer
    x = 631,545.30

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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.