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Finding the Fourth Proportional to 546,906.60, 820,359.90 and 406,938.60

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Solution

The fourth proportional to 546,906.60, 820,359.90 and 406,938.60 is: 610,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,906.60 : 820,359.90 = 406,938.60 : x
  2. Step 2: Convert to fraction form
    546,906.60/820,359.90 = 406,938.60/x
  3. Step 3: Cross multiply
    546,906.60x = 820,359.90 × 406,938.60
  4. Step 4: Simplify right side
    546,906.60x = 333,836,109,202.14
  5. Step 5: Solve for x
    x = 333,836,109,202.14/546,906.60
  6. Step 6: Final answer
    x = 610,407.90

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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.