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Finding the Fourth Proportional to 290,322,405.80, 435,483,608.70 and 260,761,164.20

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Solution

The fourth proportional to 290,322,405.80, 435,483,608.70 and 260,761,164.20 is: 391,141,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,322,405.80 : 435,483,608.70 = 260,761,164.20 : x
  2. Step 2: Convert to fraction form
    290,322,405.80/435,483,608.70 = 260,761,164.20/x
  3. Step 3: Cross multiply
    290,322,405.80x = 435,483,608.70 × 260,761,164.20
  4. Step 4: Simplify right side
    290,322,405.80x = 113,557,212,794,629,248
  5. Step 5: Solve for x
    x = 113,557,212,794,629,248/290,322,405.80
  6. Step 6: Final answer
    x = 391,141,746.30

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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.