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Finding the Fourth Proportional to 843,438.40, 1,265,449.20 and 814,278.40

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Solution

The fourth proportional to 843,438.40, 1,265,449.20 and 814,278.40 is: 1,221,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,438.40 : 1,265,449.20 = 814,278.40 : x
  2. Step 2: Convert to fraction form
    843,438.40/1,265,449.20 = 814,278.40/x
  3. Step 3: Cross multiply
    843,438.40x = 1,265,449.20 × 814,278.40
  4. Step 4: Simplify right side
    843,438.40x = 1,030,427,949,857.28
  5. Step 5: Solve for x
    x = 1,030,427,949,857.28/843,438.40
  6. Step 6: Final answer
    x = 1,221,699.12

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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.