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Finding the Fourth Proportional to 609,409,853.64, 913,992,563.61 and 298,383,461.64

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Solution

The fourth proportional to 609,409,853.64, 913,992,563.61 and 298,383,461.64 is: 447,515,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,409,853.64 : 913,992,563.61 = 298,383,461.64 : x
  2. Step 2: Convert to fraction form
    609,409,853.64/913,992,563.61 = 298,383,461.64/x
  3. Step 3: Cross multiply
    609,409,853.64x = 913,992,563.61 × 298,383,461.64
  4. Step 4: Simplify right side
    609,409,853.64x = 272,720,265,043,169,696
  5. Step 5: Solve for x
    x = 272,720,265,043,169,696/609,409,853.64
  6. Step 6: Final answer
    x = 447,515,351.80

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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.