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Finding the Fourth Proportional to 574,452, 861,678 and 258,539.76

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Solution

The fourth proportional to 574,452, 861,678 and 258,539.76 is: 387,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,452 : 861,678 = 258,539.76 : x
  2. Step 2: Convert to fraction form
    574,452/861,678 = 258,539.76/x
  3. Step 3: Cross multiply
    574,452x = 861,678 × 258,539.76
  4. Step 4: Simplify right side
    574,452x = 222,778,023,317.28
  5. Step 5: Solve for x
    x = 222,778,023,317.28/574,452
  6. Step 6: Final answer
    x = 387,809.64

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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.