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Finding the Fourth Proportional to 557,980.86, 769,290.84 and 361,397.58

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Solution

The fourth proportional to 557,980.86, 769,290.84 and 361,397.58 is: 498,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,980.86 : 769,290.84 = 361,397.58 : x
  2. Step 2: Convert to fraction form
    557,980.86/769,290.84 = 361,397.58/x
  3. Step 3: Cross multiply
    557,980.86x = 769,290.84 × 361,397.58
  4. Step 4: Simplify right side
    557,980.86x = 278,019,847,892.17
  5. Step 5: Solve for x
    x = 278,019,847,892.17/557,980.86
  6. Step 6: Final answer
    x = 498,260.55

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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.