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Finding the Fourth Proportional to 343,169.36, 514,611.48 and 132,686

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Solution

The fourth proportional to 343,169.36, 514,611.48 and 132,686 is: 198,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,169.36 : 514,611.48 = 132,686 : x
  2. Step 2: Convert to fraction form
    343,169.36/514,611.48 = 132,686/x
  3. Step 3: Cross multiply
    343,169.36x = 514,611.48 × 132,686
  4. Step 4: Simplify right side
    343,169.36x = 68,281,738,835.28
  5. Step 5: Solve for x
    x = 68,281,738,835.28/343,169.36
  6. Step 6: Final answer
    x = 198,973.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.