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Finding the Fourth Proportional to 271,820.64, 407,544.96 and 138,442.80

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Solution

The fourth proportional to 271,820.64, 407,544.96 and 138,442.80 is: 207,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,820.64 : 407,544.96 = 138,442.80 : x
  2. Step 2: Convert to fraction form
    271,820.64/407,544.96 = 138,442.80/x
  3. Step 3: Cross multiply
    271,820.64x = 407,544.96 × 138,442.80
  4. Step 4: Simplify right side
    271,820.64x = 56,421,665,388.29
  5. Step 5: Solve for x
    x = 56,421,665,388.29/271,820.64
  6. Step 6: Final answer
    x = 207,569.47

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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.