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Finding the Fourth Proportional to 546,778.20, 821,042.10 and 413,808.60

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Solution

The fourth proportional to 546,778.20, 821,042.10 and 413,808.60 is: 621,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,778.20 : 821,042.10 = 413,808.60 : x
  2. Step 2: Convert to fraction form
    546,778.20/821,042.10 = 413,808.60/x
  3. Step 3: Cross multiply
    546,778.20x = 821,042.10 × 413,808.60
  4. Step 4: Simplify right side
    546,778.20x = 339,754,281,942.06
  5. Step 5: Solve for x
    x = 339,754,281,942.06/546,778.20
  6. Step 6: Final answer
    x = 621,374.96

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1.5x scale

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.