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Finding the Fourth Proportional to 271,490.32, 407,356.44 and 105,291.28

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Solution

The fourth proportional to 271,490.32, 407,356.44 and 105,291.28 is: 157,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,490.32 : 407,356.44 = 105,291.28 : x
  2. Step 2: Convert to fraction form
    271,490.32/407,356.44 = 105,291.28/x
  3. Step 3: Cross multiply
    271,490.32x = 407,356.44 × 105,291.28
  4. Step 4: Simplify right side
    271,490.32x = 42,891,080,983.84
  5. Step 5: Solve for x
    x = 42,891,080,983.84/271,490.32
  6. Step 6: Final answer
    x = 157,983.83

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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.