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Finding the Fourth Proportional to 458,396.40, 687,735.37 and 218,816.02

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Solution

The fourth proportional to 458,396.40, 687,735.37 and 218,816.02 is: 328,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,396.40 : 687,735.37 = 218,816.02 : x
  2. Step 2: Convert to fraction form
    458,396.40/687,735.37 = 218,816.02/x
  3. Step 3: Cross multiply
    458,396.40x = 687,735.37 × 218,816.02
  4. Step 4: Simplify right side
    458,396.40x = 150,487,516,476.63
  5. Step 5: Solve for x
    x = 150,487,516,476.63/458,396.40
  6. Step 6: Final answer
    x = 328,291.23

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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.