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Finding the Fourth Proportional to 509,608, 764,412.16 and 149,778.92

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Solution

The fourth proportional to 509,608, 764,412.16 and 149,778.92 is: 224,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,608 : 764,412.16 = 149,778.92 : x
  2. Step 2: Convert to fraction form
    509,608/764,412.16 = 149,778.92/x
  3. Step 3: Cross multiply
    509,608x = 764,412.16 × 149,778.92
  4. Step 4: Simplify right side
    509,608x = 114,492,823,188.71
  5. Step 5: Solve for x
    x = 114,492,823,188.71/509,608
  6. Step 6: Final answer
    x = 224,668.42

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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.