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Finding the Fourth Proportional to 678,105, 935,814.06 and 376,299

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Solution

The fourth proportional to 678,105, 935,814.06 and 376,299 is: 519,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,105 : 935,814.06 = 376,299 : x
  2. Step 2: Convert to fraction form
    678,105/935,814.06 = 376,299/x
  3. Step 3: Cross multiply
    678,105x = 935,814.06 × 376,299
  4. Step 4: Simplify right side
    678,105x = 352,145,894,963.94
  5. Step 5: Solve for x
    x = 352,145,894,963.94/678,105
  6. Step 6: Final answer
    x = 519,308.80

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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.