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Finding the Fourth Proportional to 565,194.57, 779,923.26 and 323,421.72

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Solution

The fourth proportional to 565,194.57, 779,923.26 and 323,421.72 is: 446,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,194.57 : 779,923.26 = 323,421.72 : x
  2. Step 2: Convert to fraction form
    565,194.57/779,923.26 = 323,421.72/x
  3. Step 3: Cross multiply
    565,194.57x = 779,923.26 × 323,421.72
  4. Step 4: Simplify right side
    565,194.57x = 252,244,122,217.21
  5. Step 5: Solve for x
    x = 252,244,122,217.21/565,194.57
  6. Step 6: Final answer
    x = 446,296.08

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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.