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Finding the Fourth Proportional to 561,688.12, 774,940.31 and 319,799.58

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Solution

The fourth proportional to 561,688.12, 774,940.31 and 319,799.58 is: 441,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,688.12 : 774,940.31 = 319,799.58 : x
  2. Step 2: Convert to fraction form
    561,688.12/774,940.31 = 319,799.58/x
  3. Step 3: Cross multiply
    561,688.12x = 774,940.31 × 319,799.58
  4. Step 4: Simplify right side
    561,688.12x = 247,825,584,156.17
  5. Step 5: Solve for x
    x = 247,825,584,156.17/561,688.12
  6. Step 6: Final answer
    x = 441,215.64

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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.