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Finding the Fourth Proportional to 413,967.80, 620,951.75 and 129,680.51

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Solution

The fourth proportional to 413,967.80, 620,951.75 and 129,680.51 is: 194,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,967.80 : 620,951.75 = 129,680.51 : x
  2. Step 2: Convert to fraction form
    413,967.80/620,951.75 = 129,680.51/x
  3. Step 3: Cross multiply
    413,967.80x = 620,951.75 × 129,680.51
  4. Step 4: Simplify right side
    413,967.80x = 80,525,336,844.84
  5. Step 5: Solve for x
    x = 80,525,336,844.84/413,967.80
  6. Step 6: Final answer
    x = 194,520.77

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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.