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Finding the Fourth Proportional to 678,104, 935,812.68 and 376,298

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Solution

The fourth proportional to 678,104, 935,812.68 and 376,298 is: 519,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,104 : 935,812.68 = 376,298 : x
  2. Step 2: Convert to fraction form
    678,104/935,812.68 = 376,298/x
  3. Step 3: Cross multiply
    678,104x = 935,812.68 × 376,298
  4. Step 4: Simplify right side
    678,104x = 352,144,439,858.64
  5. Step 5: Solve for x
    x = 352,144,439,858.64/678,104
  6. Step 6: Final answer
    x = 519,307.42

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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.