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Finding the Fourth Proportional to 271,782.48, 407,788.90 and 145,389.62

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Solution

The fourth proportional to 271,782.48, 407,788.90 and 145,389.62 is: 218,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,782.48 : 407,788.90 = 145,389.62 : x
  2. Step 2: Convert to fraction form
    271,782.48/407,788.90 = 145,389.62/x
  3. Step 3: Cross multiply
    271,782.48x = 407,788.90 × 145,389.62
  4. Step 4: Simplify right side
    271,782.48x = 59,288,273,211.22
  5. Step 5: Solve for x
    x = 59,288,273,211.22/271,782.48
  6. Step 6: Final answer
    x = 218,146.05

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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.