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Finding the Fourth Proportional to 356,873.90, 492,488.41 and 195,730.10

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Solution

The fourth proportional to 356,873.90, 492,488.41 and 195,730.10 is: 270,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,873.90 : 492,488.41 = 195,730.10 : x
  2. Step 2: Convert to fraction form
    356,873.90/492,488.41 = 195,730.10/x
  3. Step 3: Cross multiply
    356,873.90x = 492,488.41 × 195,730.10
  4. Step 4: Simplify right side
    356,873.90x = 96,394,805,738.14
  5. Step 5: Solve for x
    x = 96,394,805,738.14/356,873.90
  6. Step 6: Final answer
    x = 270,108.87

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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.