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Finding the Fourth Proportional to 561,609.20, 774,931.10 and 319,896.56

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Solution

The fourth proportional to 561,609.20, 774,931.10 and 319,896.56 is: 441,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,609.20 : 774,931.10 = 319,896.56 : x
  2. Step 2: Convert to fraction form
    561,609.20/774,931.10 = 319,896.56/x
  3. Step 3: Cross multiply
    561,609.20x = 774,931.10 × 319,896.56
  4. Step 4: Simplify right side
    561,609.20x = 247,897,787,652.88
  5. Step 5: Solve for x
    x = 247,897,787,652.88/561,609.20
  6. Step 6: Final answer
    x = 441,406.21

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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.