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Finding the Fourth Proportional to 678,102, 935,809.92 and 376,296

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Solution

The fourth proportional to 678,102, 935,809.92 and 376,296 is: 519,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,102 : 935,809.92 = 376,296 : x
  2. Step 2: Convert to fraction form
    678,102/935,809.92 = 376,296/x
  3. Step 3: Cross multiply
    678,102x = 935,809.92 × 376,296
  4. Step 4: Simplify right side
    678,102x = 352,141,529,656.32
  5. Step 5: Solve for x
    x = 352,141,529,656.32/678,102
  6. Step 6: Final answer
    x = 519,304.66

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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.