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Finding the Fourth Proportional to 266,695.40, 400,302.30 and 161,719.40

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Solution

The fourth proportional to 266,695.40, 400,302.30 and 161,719.40 is: 242,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,695.40 : 400,302.30 = 161,719.40 : x
  2. Step 2: Convert to fraction form
    266,695.40/400,302.30 = 161,719.40/x
  3. Step 3: Cross multiply
    266,695.40x = 400,302.30 × 161,719.40
  4. Step 4: Simplify right side
    266,695.40x = 64,736,647,774.62
  5. Step 5: Solve for x
    x = 64,736,647,774.62/266,695.40
  6. Step 6: Final answer
    x = 242,736.27

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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.