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Finding the Fourth Proportional to 271,387.05, 406,416.00 and 191,228.03

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Solution

The fourth proportional to 271,387.05, 406,416.00 and 191,228.03 is: 286,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,387.05 : 406,416.00 = 191,228.03 : x
  2. Step 2: Convert to fraction form
    271,387.05/406,416.00 = 191,228.03/x
  3. Step 3: Cross multiply
    271,387.05x = 406,416.00 × 191,228.03
  4. Step 4: Simplify right side
    271,387.05x = 77,718,130,084.34
  5. Step 5: Solve for x
    x = 77,718,130,084.34/271,387.05
  6. Step 6: Final answer
    x = 286,373.77

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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.