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Finding the Fourth Proportional to 356,420.66, 491,860.50 and 195,281.82

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Solution

The fourth proportional to 356,420.66, 491,860.50 and 195,281.82 is: 269,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,420.66 : 491,860.50 = 195,281.82 : x
  2. Step 2: Convert to fraction form
    356,420.66/491,860.50 = 195,281.82/x
  3. Step 3: Cross multiply
    356,420.66x = 491,860.50 × 195,281.82
  4. Step 4: Simplify right side
    356,420.66x = 96,051,413,626.11
  5. Step 5: Solve for x
    x = 96,051,413,626.11/356,420.66
  6. Step 6: Final answer
    x = 269,488.91

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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.