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Finding the Fourth Proportional to 569,078.38, 853,364.85 and 302,782.78

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Solution

The fourth proportional to 569,078.38, 853,364.85 and 302,782.78 is: 454,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,078.38 : 853,364.85 = 302,782.78 : x
  2. Step 2: Convert to fraction form
    569,078.38/853,364.85 = 302,782.78/x
  3. Step 3: Cross multiply
    569,078.38x = 853,364.85 × 302,782.78
  4. Step 4: Simplify right side
    569,078.38x = 258,384,181,637.28
  5. Step 5: Solve for x
    x = 258,384,181,637.28/569,078.38
  6. Step 6: Final answer
    x = 454,039.71

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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.