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Finding the Fourth Proportional to 401,274.82, 553,755.72 and 219,983.46

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Solution

The fourth proportional to 401,274.82, 553,755.72 and 219,983.46 is: 303,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,274.82 : 553,755.72 = 219,983.46 : x
  2. Step 2: Convert to fraction form
    401,274.82/553,755.72 = 219,983.46/x
  3. Step 3: Cross multiply
    401,274.82x = 553,755.72 × 219,983.46
  4. Step 4: Simplify right side
    401,274.82x = 121,817,099,280.39
  5. Step 5: Solve for x
    x = 121,817,099,280.39/401,274.82
  6. Step 6: Final answer
    x = 303,575.24

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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.