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Finding the Fourth Proportional to 460,912.40, 689,986.20 and 405,616.40

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Solution

The fourth proportional to 460,912.40, 689,986.20 and 405,616.40 is: 607,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,912.40 : 689,986.20 = 405,616.40 : x
  2. Step 2: Convert to fraction form
    460,912.40/689,986.20 = 405,616.40/x
  3. Step 3: Cross multiply
    460,912.40x = 689,986.20 × 405,616.40
  4. Step 4: Simplify right side
    460,912.40x = 279,869,718,493.68
  5. Step 5: Solve for x
    x = 279,869,718,493.68/460,912.40
  6. Step 6: Final answer
    x = 607,208.05

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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.