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Finding the Fourth Proportional to 492,466.58, 679,488.13 and 298,870

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Solution

The fourth proportional to 492,466.58, 679,488.13 and 298,870 is: 412,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,466.58 : 679,488.13 = 298,870 : x
  2. Step 2: Convert to fraction form
    492,466.58/679,488.13 = 298,870/x
  3. Step 3: Cross multiply
    492,466.58x = 679,488.13 × 298,870
  4. Step 4: Simplify right side
    492,466.58x = 203,078,618,160.28
  5. Step 5: Solve for x
    x = 203,078,618,160.28/492,466.58
  6. Step 6: Final answer
    x = 412,370.35

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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.