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Finding the Fourth Proportional to 2,608,407.60, 3,907,945.80 and 1,609,969.20

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Solution

The fourth proportional to 2,608,407.60, 3,907,945.80 and 1,609,969.20 is: 2,412,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608,407.60 : 3,907,945.80 = 1,609,969.20 : x
  2. Step 2: Convert to fraction form
    2,608,407.60/3,907,945.80 = 1,609,969.20/x
  3. Step 3: Cross multiply
    2,608,407.60x = 3,907,945.80 × 1,609,969.20
  4. Step 4: Simplify right side
    2,608,407.60x = 6,291,672,373,269.36
  5. Step 5: Solve for x
    x = 6,291,672,373,269.36/2,608,407.60
  6. Step 6: Final answer
    x = 2,412,074.08

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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.