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Finding the Fourth Proportional to 290,227.82, 400,492.44 and 162,878.81

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Solution

The fourth proportional to 290,227.82, 400,492.44 and 162,878.81 is: 224,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,227.82 : 400,492.44 = 162,878.81 : x
  2. Step 2: Convert to fraction form
    290,227.82/400,492.44 = 162,878.81/x
  3. Step 3: Cross multiply
    290,227.82x = 400,492.44 × 162,878.81
  4. Step 4: Simplify right side
    290,227.82x = 65,231,732,041.20
  5. Step 5: Solve for x
    x = 65,231,732,041.20/290,227.82
  6. Step 6: Final answer
    x = 224,760.44

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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.