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Finding the Fourth Proportional to 561,982, 775,535.90 and 316,969.96

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Solution

The fourth proportional to 561,982, 775,535.90 and 316,969.96 is: 437,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,982 : 775,535.90 = 316,969.96 : x
  2. Step 2: Convert to fraction form
    561,982/775,535.90 = 316,969.96/x
  3. Step 3: Cross multiply
    561,982x = 775,535.90 × 316,969.96
  4. Step 4: Simplify right side
    561,982x = 245,821,583,201.56
  5. Step 5: Solve for x
    x = 245,821,583,201.56/561,982
  6. Step 6: Final answer
    x = 437,418.96

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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.