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Finding the Fourth Proportional to 522,028.20, 782,459.10 and 222,457.80

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Solution

The fourth proportional to 522,028.20, 782,459.10 and 222,457.80 is: 333,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,028.20 : 782,459.10 = 222,457.80 : x
  2. Step 2: Convert to fraction form
    522,028.20/782,459.10 = 222,457.80/x
  3. Step 3: Cross multiply
    522,028.20x = 782,459.10 × 222,457.80
  4. Step 4: Simplify right side
    522,028.20x = 174,064,129,975.98
  5. Step 5: Solve for x
    x = 174,064,129,975.98/522,028.20
  6. Step 6: Final answer
    x = 333,438.17

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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.