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Finding the Fourth Proportional to 840,862, 1,160,414.16 and 458,913.28

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Solution

The fourth proportional to 840,862, 1,160,414.16 and 458,913.28 is: 633,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,862 : 1,160,414.16 = 458,913.28 : x
  2. Step 2: Convert to fraction form
    840,862/1,160,414.16 = 458,913.28/x
  3. Step 3: Cross multiply
    840,862x = 1,160,414.16 × 458,913.28
  4. Step 4: Simplify right side
    840,862x = 532,529,468,324.05
  5. Step 5: Solve for x
    x = 532,529,468,324.05/840,862
  6. Step 6: Final answer
    x = 633,313.75

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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.