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Finding the Fourth Proportional to 491,882.34, 678,846.03 and 287,920.89

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Solution

The fourth proportional to 491,882.34, 678,846.03 and 287,920.89 is: 397,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,882.34 : 678,846.03 = 287,920.89 : x
  2. Step 2: Convert to fraction form
    491,882.34/678,846.03 = 287,920.89/x
  3. Step 3: Cross multiply
    491,882.34x = 678,846.03 × 287,920.89
  4. Step 4: Simplify right side
    491,882.34x = 195,453,953,130.57
  5. Step 5: Solve for x
    x = 195,453,953,130.57/491,882.34
  6. Step 6: Final answer
    x = 397,359.16

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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.