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Finding the Fourth Proportional to 489,420.94, 734,043.90 and 311,399.14

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Solution

The fourth proportional to 489,420.94, 734,043.90 and 311,399.14 is: 467,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,420.94 : 734,043.90 = 311,399.14 : x
  2. Step 2: Convert to fraction form
    489,420.94/734,043.90 = 311,399.14/x
  3. Step 3: Cross multiply
    489,420.94x = 734,043.90 × 311,399.14
  4. Step 4: Simplify right side
    489,420.94x = 228,580,639,182.25
  5. Step 5: Solve for x
    x = 228,580,639,182.25/489,420.94
  6. Step 6: Final answer
    x = 467,043.03

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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.