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Finding the Fourth Proportional to 561,714.84, 774,977.22 and 319,826.34

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Solution

The fourth proportional to 561,714.84, 774,977.22 and 319,826.34 is: 441,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,714.84 : 774,977.22 = 319,826.34 : x
  2. Step 2: Convert to fraction form
    561,714.84/774,977.22 = 319,826.34/x
  3. Step 3: Cross multiply
    561,714.84x = 774,977.22 × 319,826.34
  4. Step 4: Simplify right side
    561,714.84x = 247,858,127,855.98
  5. Step 5: Solve for x
    x = 247,858,127,855.98/561,714.84
  6. Step 6: Final answer
    x = 441,252.59

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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.