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Finding the Fourth Proportional to 546,774.70, 821,036.85 and 413,805.10

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Solution

The fourth proportional to 546,774.70, 821,036.85 and 413,805.10 is: 621,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,774.70 : 821,036.85 = 413,805.10 : x
  2. Step 2: Convert to fraction form
    546,774.70/821,036.85 = 413,805.10/x
  3. Step 3: Cross multiply
    546,774.70x = 821,036.85 × 413,805.10
  4. Step 4: Simplify right side
    546,774.70x = 339,749,235,817.94
  5. Step 5: Solve for x
    x = 339,749,235,817.94/546,774.70
  6. Step 6: Final answer
    x = 621,369.71

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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.