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Finding the Fourth Proportional to 561,428.54, 774,787.44 and 313,076.24

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Solution

The fourth proportional to 561,428.54, 774,787.44 and 313,076.24 is: 432,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,428.54 : 774,787.44 = 313,076.24 : x
  2. Step 2: Convert to fraction form
    561,428.54/774,787.44 = 313,076.24/x
  3. Step 3: Cross multiply
    561,428.54x = 774,787.44 × 313,076.24
  4. Step 4: Simplify right side
    561,428.54x = 242,567,538,514.43
  5. Step 5: Solve for x
    x = 242,567,538,514.43/561,428.54
  6. Step 6: Final answer
    x = 432,054.16

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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.