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Finding the Fourth Proportional to 509,635.34, 764,457.62 and 154,649.35

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Solution

The fourth proportional to 509,635.34, 764,457.62 and 154,649.35 is: 231,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,635.34 : 764,457.62 = 154,649.35 : x
  2. Step 2: Convert to fraction form
    509,635.34/764,457.62 = 154,649.35/x
  3. Step 3: Cross multiply
    509,635.34x = 764,457.62 × 154,649.35
  4. Step 4: Simplify right side
    509,635.34x = 118,222,874,217.87
  5. Step 5: Solve for x
    x = 118,222,874,217.87/509,635.34
  6. Step 6: Final answer
    x = 231,975.42

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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.