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Finding the Fourth Proportional to 1,199,387,947.75, 1,798,715,350.11 and 422,852,005.13

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Solution

The fourth proportional to 1,199,387,947.75, 1,798,715,350.11 and 422,852,005.13 is: 634,148,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,387,947.75 : 1,798,715,350.11 = 422,852,005.13 : x
  2. Step 2: Convert to fraction form
    1,199,387,947.75/1,798,715,350.11 = 422,852,005.13/x
  3. Step 3: Cross multiply
    1,199,387,947.75x = 1,798,715,350.11 × 422,852,005.13
  4. Step 4: Simplify right side
    1,199,387,947.75x = 760,590,392,444,694,400
  5. Step 5: Solve for x
    x = 760,590,392,444,694,400/1,199,387,947.75
  6. Step 6: Final answer
    x = 634,148,770.52

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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.