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Finding the Fourth Proportional to 419,929.12, 579,504 and 269,113.60

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Solution

The fourth proportional to 419,929.12, 579,504 and 269,113.60 is: 371,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,929.12 : 579,504 = 269,113.60 : x
  2. Step 2: Convert to fraction form
    419,929.12/579,504 = 269,113.60/x
  3. Step 3: Cross multiply
    419,929.12x = 579,504 × 269,113.60
  4. Step 4: Simplify right side
    419,929.12x = 155,952,407,654.40
  5. Step 5: Solve for x
    x = 155,952,407,654.40/419,929.12
  6. Step 6: Final answer
    x = 371,377.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.