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Finding the Fourth Proportional to 820,920, 1,132,858.87 and 458,350.03

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Solution

The fourth proportional to 820,920, 1,132,858.87 and 458,350.03 is: 632,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,920 : 1,132,858.87 = 458,350.03 : x
  2. Step 2: Convert to fraction form
    820,920/1,132,858.87 = 458,350.03/x
  3. Step 3: Cross multiply
    820,920x = 1,132,858.87 × 458,350.03
  4. Step 4: Simplify right side
    820,920x = 519,245,897,050.27
  5. Step 5: Solve for x
    x = 519,245,897,050.27/820,920
  6. Step 6: Final answer
    x = 632,517.05

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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.