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Finding the Fourth Proportional to 561,698.34, 774,954.45 and 319,809.80

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Solution

The fourth proportional to 561,698.34, 774,954.45 and 319,809.80 is: 441,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,698.34 : 774,954.45 = 319,809.80 : x
  2. Step 2: Convert to fraction form
    561,698.34/774,954.45 = 319,809.80/x
  3. Step 3: Cross multiply
    561,698.34x = 774,954.45 × 319,809.80
  4. Step 4: Simplify right side
    561,698.34x = 247,838,023,788.84
  5. Step 5: Solve for x
    x = 247,838,023,788.84/561,698.34
  6. Step 6: Final answer
    x = 441,229.76

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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.