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Finding the Fourth Proportional to 489,575.76, 733,663.80 and 278,778.12

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Solution

The fourth proportional to 489,575.76, 733,663.80 and 278,778.12 is: 417,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,575.76 : 733,663.80 = 278,778.12 : x
  2. Step 2: Convert to fraction form
    489,575.76/733,663.80 = 278,778.12/x
  3. Step 3: Cross multiply
    489,575.76x = 733,663.80 × 278,778.12
  4. Step 4: Simplify right side
    489,575.76x = 204,529,414,876.06
  5. Step 5: Solve for x
    x = 204,529,414,876.06/489,575.76
  6. Step 6: Final answer
    x = 417,768.67

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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.