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Finding the Fourth Proportional to 1,427,505.30, 1,969,948.08 and 815,845.14

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Solution

The fourth proportional to 1,427,505.30, 1,969,948.08 and 815,845.14 is: 1,125,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,505.30 : 1,969,948.08 = 815,845.14 : x
  2. Step 2: Convert to fraction form
    1,427,505.30/1,969,948.08 = 815,845.14/x
  3. Step 3: Cross multiply
    1,427,505.30x = 1,969,948.08 × 815,845.14
  4. Step 4: Simplify right side
    1,427,505.30x = 1,607,172,567,120.33
  5. Step 5: Solve for x
    x = 1,607,172,567,120.33/1,427,505.30
  6. Step 6: Final answer
    x = 1,125,861.02

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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.