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Finding the Fourth Proportional to 546,992.09, 820,063.29 and 354,459.80

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Solution

The fourth proportional to 546,992.09, 820,063.29 and 354,459.80 is: 531,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,992.09 : 820,063.29 = 354,459.80 : x
  2. Step 2: Convert to fraction form
    546,992.09/820,063.29 = 354,459.80/x
  3. Step 3: Cross multiply
    546,992.09x = 820,063.29 × 354,459.80
  4. Step 4: Simplify right side
    546,992.09x = 290,679,466,533.43
  5. Step 5: Solve for x
    x = 290,679,466,533.43/546,992.09
  6. Step 6: Final answer
    x = 531,414.39

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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.