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Finding the Fourth Proportional to 274,663.40, 411,995.10 and 219,367.40

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Solution

The fourth proportional to 274,663.40, 411,995.10 and 219,367.40 is: 329,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,663.40 : 411,995.10 = 219,367.40 : x
  2. Step 2: Convert to fraction form
    274,663.40/411,995.10 = 219,367.40/x
  3. Step 3: Cross multiply
    274,663.40x = 411,995.10 × 219,367.40
  4. Step 4: Simplify right side
    274,663.40x = 90,378,293,899.74
  5. Step 5: Solve for x
    x = 90,378,293,899.74/274,663.40
  6. Step 6: Final answer
    x = 329,051.10

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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.