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Finding the Fourth Proportional to 565,634.48, 780,353.33 and 323,786.84

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Solution

The fourth proportional to 565,634.48, 780,353.33 and 323,786.84 is: 446,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,634.48 : 780,353.33 = 323,786.84 : x
  2. Step 2: Convert to fraction form
    565,634.48/780,353.33 = 323,786.84/x
  3. Step 3: Cross multiply
    565,634.48x = 780,353.33 × 323,786.84
  4. Step 4: Simplify right side
    565,634.48x = 252,668,133,283.48
  5. Step 5: Solve for x
    x = 252,668,133,283.48/565,634.48
  6. Step 6: Final answer
    x = 446,698.61

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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.