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Finding the Fourth Proportional to 1,200,508,584.84, 1,656,875,839.68 and 691,772,323.05

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Solution

The fourth proportional to 1,200,508,584.84, 1,656,875,839.68 and 691,772,323.05 is: 954,746,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,508,584.84 : 1,656,875,839.68 = 691,772,323.05 : x
  2. Step 2: Convert to fraction form
    1,200,508,584.84/1,656,875,839.68 = 691,772,323.05/x
  3. Step 3: Cross multiply
    1,200,508,584.84x = 1,656,875,839.68 × 691,772,323.05
  4. Step 4: Simplify right side
    1,200,508,584.84x = 1,146,180,848,620,852,992
  5. Step 5: Solve for x
    x = 1,146,180,848,620,852,992/1,200,508,584.84
  6. Step 6: Final answer
    x = 954,746,066.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.