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Finding the Fourth Proportional to 561,409.38, 774,744.12 and 319,692

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Solution

The fourth proportional to 561,409.38, 774,744.12 and 319,692 is: 441,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,409.38 : 774,744.12 = 319,692 : x
  2. Step 2: Convert to fraction form
    561,409.38/774,744.12 = 319,692/x
  3. Step 3: Cross multiply
    561,409.38x = 774,744.12 × 319,692
  4. Step 4: Simplify right side
    561,409.38x = 247,679,497,211.04
  5. Step 5: Solve for x
    x = 247,679,497,211.04/561,409.38
  6. Step 6: Final answer
    x = 441,174.49

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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.