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Finding the Fourth Proportional to 513,521.19, 770,321.90 and 171,965.91

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Solution

The fourth proportional to 513,521.19, 770,321.90 and 171,965.91 is: 257,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,521.19 : 770,321.90 = 171,965.91 : x
  2. Step 2: Convert to fraction form
    513,521.19/770,321.90 = 171,965.91/x
  3. Step 3: Cross multiply
    513,521.19x = 770,321.90 × 171,965.91
  4. Step 4: Simplify right side
    513,521.19x = 132,469,106,711.21
  5. Step 5: Solve for x
    x = 132,469,106,711.21/513,521.19
  6. Step 6: Final answer
    x = 257,962.30

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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.