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Finding the Fourth Proportional to 476,830, 658,025.94 and 261,970.48

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Solution

The fourth proportional to 476,830, 658,025.94 and 261,970.48 is: 361,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,830 : 658,025.94 = 261,970.48 : x
  2. Step 2: Convert to fraction form
    476,830/658,025.94 = 261,970.48/x
  3. Step 3: Cross multiply
    476,830x = 658,025.94 × 261,970.48
  4. Step 4: Simplify right side
    476,830x = 172,383,371,354.25
  5. Step 5: Solve for x
    x = 172,383,371,354.25/476,830
  6. Step 6: Final answer
    x = 361,519.56

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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.