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Finding the Fourth Proportional to 271,929.32, 407,851.84 and 138,907.88

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Solution

The fourth proportional to 271,929.32, 407,851.84 and 138,907.88 is: 208,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,929.32 : 407,851.84 = 138,907.88 : x
  2. Step 2: Convert to fraction form
    271,929.32/407,851.84 = 138,907.88/x
  3. Step 3: Cross multiply
    271,929.32x = 407,851.84 × 138,907.88
  4. Step 4: Simplify right side
    271,929.32x = 56,653,834,448.50
  5. Step 5: Solve for x
    x = 56,653,834,448.50/271,929.32
  6. Step 6: Final answer
    x = 208,340.29

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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.