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Finding the Fourth Proportional to 304,901.44, 420,910.24 and 214,335.04

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Solution

The fourth proportional to 304,901.44, 420,910.24 and 214,335.04 is: 295,885.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,901.44 : 420,910.24 = 214,335.04 : x
  2. Step 2: Convert to fraction form
    304,901.44/420,910.24 = 214,335.04/x
  3. Step 3: Cross multiply
    304,901.44x = 420,910.24 × 214,335.04
  4. Step 4: Simplify right side
    304,901.44x = 90,215,813,126.81
  5. Step 5: Solve for x
    x = 90,215,813,126.81/304,901.44
  6. Step 6: Final answer
    x = 295,885.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.