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Finding the Fourth Proportional to 678,106, 935,815.44 and 376,300

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Solution

The fourth proportional to 678,106, 935,815.44 and 376,300 is: 519,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,106 : 935,815.44 = 376,300 : x
  2. Step 2: Convert to fraction form
    678,106/935,815.44 = 376,300/x
  3. Step 3: Cross multiply
    678,106x = 935,815.44 × 376,300
  4. Step 4: Simplify right side
    678,106x = 352,147,350,072
  5. Step 5: Solve for x
    x = 352,147,350,072/678,106
  6. Step 6: Final answer
    x = 519,310.18

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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.