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Finding the Fourth Proportional to 306,515.40, 459,175.20 and 172,991.76

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Solution

The fourth proportional to 306,515.40, 459,175.20 and 172,991.76 is: 259,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,515.40 : 459,175.20 = 172,991.76 : x
  2. Step 2: Convert to fraction form
    306,515.40/459,175.20 = 172,991.76/x
  3. Step 3: Cross multiply
    306,515.40x = 459,175.20 × 172,991.76
  4. Step 4: Simplify right side
    306,515.40x = 79,433,525,996.35
  5. Step 5: Solve for x
    x = 79,433,525,996.35/306,515.40
  6. Step 6: Final answer
    x = 259,150.20

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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.