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Finding the Fourth Proportional to 509,136.40, 763,706.70 and 172,178.80

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Solution

The fourth proportional to 509,136.40, 763,706.70 and 172,178.80 is: 258,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,136.40 : 763,706.70 = 172,178.80 : x
  2. Step 2: Convert to fraction form
    509,136.40/763,706.70 = 172,178.80/x
  3. Step 3: Cross multiply
    509,136.40x = 763,706.70 × 172,178.80
  4. Step 4: Simplify right side
    509,136.40x = 131,494,103,157.96
  5. Step 5: Solve for x
    x = 131,494,103,157.96/509,136.40
  6. Step 6: Final answer
    x = 258,268.91

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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.