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Finding the Fourth Proportional to 408,140.81, 613,096.95 and 345,087.54

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Solution

The fourth proportional to 408,140.81, 613,096.95 and 345,087.54 is: 518,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,140.81 : 613,096.95 = 345,087.54 : x
  2. Step 2: Convert to fraction form
    408,140.81/613,096.95 = 345,087.54/x
  3. Step 3: Cross multiply
    408,140.81x = 613,096.95 × 345,087.54
  4. Step 4: Simplify right side
    408,140.81x = 211,572,118,257.00
  5. Step 5: Solve for x
    x = 211,572,118,257.00/408,140.81
  6. Step 6: Final answer
    x = 518,380.22

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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.