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Finding the Fourth Proportional to 1,427,157, 1,969,536.42 and 782,602.02

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Solution

The fourth proportional to 1,427,157, 1,969,536.42 and 782,602.02 is: 1,080,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,157 : 1,969,536.42 = 782,602.02 : x
  2. Step 2: Convert to fraction form
    1,427,157/1,969,536.42 = 782,602.02/x
  3. Step 3: Cross multiply
    1,427,157x = 1,969,536.42 × 782,602.02
  4. Step 4: Simplify right side
    1,427,157x = 1,541,363,180,755.57
  5. Step 5: Solve for x
    x = 1,541,363,180,755.57/1,427,157
  6. Step 6: Final answer
    x = 1,080,023.56

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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.