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Finding the Fourth Proportional to 646,340.40, 968,912.82 and 330,100.20

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Solution

The fourth proportional to 646,340.40, 968,912.82 and 330,100.20 is: 494,845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,340.40 : 968,912.82 = 330,100.20 : x
  2. Step 2: Convert to fraction form
    646,340.40/968,912.82 = 330,100.20/x
  3. Step 3: Cross multiply
    646,340.40x = 968,912.82 × 330,100.20
  4. Step 4: Simplify right side
    646,340.40x = 319,838,315,664.56
  5. Step 5: Solve for x
    x = 319,838,315,664.56/646,340.40
  6. Step 6: Final answer
    x = 494,845.00

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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.