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Finding the Fourth Proportional to 271,491.32, 407,357.94 and 105,292.28

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Solution

The fourth proportional to 271,491.32, 407,357.94 and 105,292.28 is: 157,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,491.32 : 407,357.94 = 105,292.28 : x
  2. Step 2: Convert to fraction form
    271,491.32/407,357.94 = 105,292.28/x
  3. Step 3: Cross multiply
    271,491.32x = 407,357.94 × 105,292.28
  4. Step 4: Simplify right side
    271,491.32x = 42,891,646,278.70
  5. Step 5: Solve for x
    x = 42,891,646,278.70/271,491.32
  6. Step 6: Final answer
    x = 157,985.33

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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.