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Finding the Fourth Proportional to 509,990.70, 764,986.05 and 421,344.30

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Solution

The fourth proportional to 509,990.70, 764,986.05 and 421,344.30 is: 632,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,990.70 : 764,986.05 = 421,344.30 : x
  2. Step 2: Convert to fraction form
    509,990.70/764,986.05 = 421,344.30/x
  3. Step 3: Cross multiply
    509,990.70x = 764,986.05 × 421,344.30
  4. Step 4: Simplify right side
    509,990.70x = 322,322,511,747.02
  5. Step 5: Solve for x
    x = 322,322,511,747.02/509,990.70
  6. Step 6: Final answer
    x = 632,016.45

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1.5x scale

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.