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Finding the Fourth Proportional to 649,860.84, 974,808 and 308,224.44

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Solution

The fourth proportional to 649,860.84, 974,808 and 308,224.44 is: 462,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,860.84 : 974,808 = 308,224.44 : x
  2. Step 2: Convert to fraction form
    649,860.84/974,808 = 308,224.44/x
  3. Step 3: Cross multiply
    649,860.84x = 974,808 × 308,224.44
  4. Step 4: Simplify right side
    649,860.84x = 300,459,649,907.52
  5. Step 5: Solve for x
    x = 300,459,649,907.52/649,860.84
  6. Step 6: Final answer
    x = 462,344.60

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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.