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Finding the Fourth Proportional to 678,643.17, 936,846.78 and 392,107.89

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Solution

The fourth proportional to 678,643.17, 936,846.78 and 392,107.89 is: 541,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,643.17 : 936,846.78 = 392,107.89 : x
  2. Step 2: Convert to fraction form
    678,643.17/936,846.78 = 392,107.89/x
  3. Step 3: Cross multiply
    678,643.17x = 936,846.78 × 392,107.89
  4. Step 4: Simplify right side
    678,643.17x = 367,345,014,159.09
  5. Step 5: Solve for x
    x = 367,345,014,159.09/678,643.17
  6. Step 6: Final answer
    x = 541,293.32

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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.