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Finding the Fourth Proportional to 565,494, 780,383.34 and 323,780.28

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Solution

The fourth proportional to 565,494, 780,383.34 and 323,780.28 is: 446,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,494 : 780,383.34 = 323,780.28 : x
  2. Step 2: Convert to fraction form
    565,494/780,383.34 = 323,780.28/x
  3. Step 3: Cross multiply
    565,494x = 780,383.34 × 323,780.28
  4. Step 4: Simplify right side
    565,494x = 252,672,736,332.54
  5. Step 5: Solve for x
    x = 252,672,736,332.54/565,494
  6. Step 6: Final answer
    x = 446,817.71

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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.