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Finding the Fourth Proportional to 612,097.20, 917,708.40 and 274,861.80

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Solution

The fourth proportional to 612,097.20, 917,708.40 and 274,861.80 is: 412,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,097.20 : 917,708.40 = 274,861.80 : x
  2. Step 2: Convert to fraction form
    612,097.20/917,708.40 = 274,861.80/x
  3. Step 3: Cross multiply
    612,097.20x = 917,708.40 × 274,861.80
  4. Step 4: Simplify right side
    612,097.20x = 252,242,982,699.12
  5. Step 5: Solve for x
    x = 252,242,982,699.12/612,097.20
  6. Step 6: Final answer
    x = 412,096.29

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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.