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Finding the Fourth Proportional to 546,800.40, 820,200.60 and 413,940.15

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Solution

The fourth proportional to 546,800.40, 820,200.60 and 413,940.15 is: 620,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,800.40 : 820,200.60 = 413,940.15 : x
  2. Step 2: Convert to fraction form
    546,800.40/820,200.60 = 413,940.15/x
  3. Step 3: Cross multiply
    546,800.40x = 820,200.60 × 413,940.15
  4. Step 4: Simplify right side
    546,800.40x = 339,513,959,394.09
  5. Step 5: Solve for x
    x = 339,513,959,394.09/546,800.40
  6. Step 6: Final answer
    x = 620,910.23

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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.