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Finding the Fourth Proportional to 548,805.38, 822,354.66 and 380,654.24

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Solution

The fourth proportional to 548,805.38, 822,354.66 and 380,654.24 is: 570,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,805.38 : 822,354.66 = 380,654.24 : x
  2. Step 2: Convert to fraction form
    548,805.38/822,354.66 = 380,654.24/x
  3. Step 3: Cross multiply
    548,805.38x = 822,354.66 × 380,654.24
  4. Step 4: Simplify right side
    548,805.38x = 313,032,788,112.76
  5. Step 5: Solve for x
    x = 313,032,788,112.76/548,805.38
  6. Step 6: Final answer
    x = 570,389.43

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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.