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Finding the Fourth Proportional to 419,099.48, 628,801.29 and 258,988.80

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Solution

The fourth proportional to 419,099.48, 628,801.29 and 258,988.80 is: 388,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,099.48 : 628,801.29 = 258,988.80 : x
  2. Step 2: Convert to fraction form
    419,099.48/628,801.29 = 258,988.80/x
  3. Step 3: Cross multiply
    419,099.48x = 628,801.29 × 258,988.80
  4. Step 4: Simplify right side
    419,099.48x = 162,852,491,535.55
  5. Step 5: Solve for x
    x = 162,852,491,535.55/419,099.48
  6. Step 6: Final answer
    x = 388,577.18

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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.