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Finding the Fourth Proportional to 491,436.18, 678,012.21 and 297,905.94

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Solution

The fourth proportional to 491,436.18, 678,012.21 and 297,905.94 is: 411,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,436.18 : 678,012.21 = 297,905.94 : x
  2. Step 2: Convert to fraction form
    491,436.18/678,012.21 = 297,905.94/x
  3. Step 3: Cross multiply
    491,436.18x = 678,012.21 × 297,905.94
  4. Step 4: Simplify right side
    491,436.18x = 201,983,864,751.53
  5. Step 5: Solve for x
    x = 201,983,864,751.53/491,436.18
  6. Step 6: Final answer
    x = 411,007.31

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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.