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Finding the Fourth Proportional to 489,475.34, 734,125.43 and 311,453.54

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Solution

The fourth proportional to 489,475.34, 734,125.43 and 311,453.54 is: 467,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,475.34 : 734,125.43 = 311,453.54 : x
  2. Step 2: Convert to fraction form
    489,475.34/734,125.43 = 311,453.54/x
  3. Step 3: Cross multiply
    489,475.34x = 734,125.43 × 311,453.54
  4. Step 4: Simplify right side
    489,475.34x = 228,645,962,086.57
  5. Step 5: Solve for x
    x = 228,645,962,086.57/489,475.34
  6. Step 6: Final answer
    x = 467,124.58

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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.