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Finding the Fourth Proportional to 557,403.85, 769,216.26 and 302,754.43

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Solution

The fourth proportional to 557,403.85, 769,216.26 and 302,754.43 is: 417,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,403.85 : 769,216.26 = 302,754.43 : x
  2. Step 2: Convert to fraction form
    557,403.85/769,216.26 = 302,754.43/x
  3. Step 3: Cross multiply
    557,403.85x = 769,216.26 × 302,754.43
  4. Step 4: Simplify right side
    557,403.85x = 232,883,630,343.03
  5. Step 5: Solve for x
    x = 232,883,630,343.03/557,403.85
  6. Step 6: Final answer
    x = 417,800.54

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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.