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Finding the Fourth Proportional to 807,093,829.80, 1,210,640,744.70 and 611,948,694.60

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Solution

The fourth proportional to 807,093,829.80, 1,210,640,744.70 and 611,948,694.60 is: 917,923,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,093,829.80 : 1,210,640,744.70 = 611,948,694.60 : x
  2. Step 2: Convert to fraction form
    807,093,829.80/1,210,640,744.70 = 611,948,694.60/x
  3. Step 3: Cross multiply
    807,093,829.80x = 1,210,640,744.70 × 611,948,694.60
  4. Step 4: Simplify right side
    807,093,829.80x = 740,850,023,348,736,896
  5. Step 5: Solve for x
    x = 740,850,023,348,736,896/807,093,829.80
  6. Step 6: Final answer
    x = 917,923,041.90

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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.