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Finding the Fourth Proportional to 561,546.88, 774,984.64 and 319,776.64

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Solution

The fourth proportional to 561,546.88, 774,984.64 and 319,776.64 is: 441,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,546.88 : 774,984.64 = 319,776.64 : x
  2. Step 2: Convert to fraction form
    561,546.88/774,984.64 = 319,776.64/x
  3. Step 3: Cross multiply
    561,546.88x = 774,984.64 × 319,776.64
  4. Step 4: Simplify right side
    561,546.88x = 247,821,984,230.81
  5. Step 5: Solve for x
    x = 247,821,984,230.81/561,546.88
  6. Step 6: Final answer
    x = 441,320.21

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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.