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Finding the Fourth Proportional to 893,984, 1,233,697.92 and 491,576

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Solution

The fourth proportional to 893,984, 1,233,697.92 and 491,576 is: 678,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,984 : 1,233,697.92 = 491,576 : x
  2. Step 2: Convert to fraction form
    893,984/1,233,697.92 = 491,576/x
  3. Step 3: Cross multiply
    893,984x = 1,233,697.92 × 491,576
  4. Step 4: Simplify right side
    893,984x = 606,456,288,721.92
  5. Step 5: Solve for x
    x = 606,456,288,721.92/893,984
  6. Step 6: Final answer
    x = 678,374.88

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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.