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Finding the Fourth Proportional to 611,701,503.80, 917,552,255.70 and 440,790,078.20

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Solution

The fourth proportional to 611,701,503.80, 917,552,255.70 and 440,790,078.20 is: 661,185,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,701,503.80 : 917,552,255.70 = 440,790,078.20 : x
  2. Step 2: Convert to fraction form
    611,701,503.80/917,552,255.70 = 440,790,078.20/x
  3. Step 3: Cross multiply
    611,701,503.80x = 917,552,255.70 × 440,790,078.20
  4. Step 4: Simplify right side
    611,701,503.80x = 404,447,930,542,589,376
  5. Step 5: Solve for x
    x = 404,447,930,542,589,376/611,701,503.80
  6. Step 6: Final answer
    x = 661,185,117.30

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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.