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Finding the Fourth Proportional to 492,467.09, 679,488.82 and 298,870.50

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Solution

The fourth proportional to 492,467.09, 679,488.82 and 298,870.50 is: 412,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,467.09 : 679,488.82 = 298,870.50 : x
  2. Step 2: Convert to fraction form
    492,467.09/679,488.82 = 298,870.50/x
  3. Step 3: Cross multiply
    492,467.09x = 679,488.82 × 298,870.50
  4. Step 4: Simplify right side
    492,467.09x = 203,079,163,377.81
  5. Step 5: Solve for x
    x = 203,079,163,377.81/492,467.09
  6. Step 6: Final answer
    x = 412,371.04

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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.