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Finding the Fourth Proportional to 522,268.78, 783,403.17 and 344,734.28

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Solution

The fourth proportional to 522,268.78, 783,403.17 and 344,734.28 is: 517,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,268.78 : 783,403.17 = 344,734.28 : x
  2. Step 2: Convert to fraction form
    522,268.78/783,403.17 = 344,734.28/x
  3. Step 3: Cross multiply
    522,268.78x = 783,403.17 × 344,734.28
  4. Step 4: Simplify right side
    522,268.78x = 270,065,927,759.67
  5. Step 5: Solve for x
    x = 270,065,927,759.67/522,268.78
  6. Step 6: Final answer
    x = 517,101.42

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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.