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Finding the Fourth Proportional to 356,308.90, 491,706.48 and 195,166.64

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Solution

The fourth proportional to 356,308.90, 491,706.48 and 195,166.64 is: 269,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,308.90 : 491,706.48 = 195,166.64 : x
  2. Step 2: Convert to fraction form
    356,308.90/491,706.48 = 195,166.64/x
  3. Step 3: Cross multiply
    356,308.90x = 491,706.48 × 195,166.64
  4. Step 4: Simplify right side
    356,308.90x = 95,964,701,567.83
  5. Step 5: Solve for x
    x = 95,964,701,567.83/356,308.90
  6. Step 6: Final answer
    x = 269,330.07

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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.