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Finding the Fourth Proportional to 649,870.84, 974,823 and 308,234.44

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Solution

The fourth proportional to 649,870.84, 974,823 and 308,234.44 is: 462,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,870.84 : 974,823 = 308,234.44 : x
  2. Step 2: Convert to fraction form
    649,870.84/974,823 = 308,234.44/x
  3. Step 3: Cross multiply
    649,870.84x = 974,823 × 308,234.44
  4. Step 4: Simplify right side
    649,870.84x = 300,474,021,504.12
  5. Step 5: Solve for x
    x = 300,474,021,504.12/649,870.84
  6. Step 6: Final answer
    x = 462,359.60

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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.