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Finding the Fourth Proportional to 476,834.28, 658,035.76 and 261,978.80

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Solution

The fourth proportional to 476,834.28, 658,035.76 and 261,978.80 is: 361,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,834.28 : 658,035.76 = 261,978.80 : x
  2. Step 2: Convert to fraction form
    476,834.28/658,035.76 = 261,978.80/x
  3. Step 3: Cross multiply
    476,834.28x = 658,035.76 × 261,978.80
  4. Step 4: Simplify right side
    476,834.28x = 172,391,418,761.89
  5. Step 5: Solve for x
    x = 172,391,418,761.89/476,834.28
  6. Step 6: Final answer
    x = 361,533.19

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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.