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Finding the Fourth Proportional to 400,428.49, 552,583.92 and 219,136.78

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Solution

The fourth proportional to 400,428.49, 552,583.92 and 219,136.78 is: 302,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,428.49 : 552,583.92 = 219,136.78 : x
  2. Step 2: Convert to fraction form
    400,428.49/552,583.92 = 219,136.78/x
  3. Step 3: Cross multiply
    400,428.49x = 552,583.92 × 219,136.78
  4. Step 4: Simplify right side
    400,428.49x = 121,091,460,908.58
  5. Step 5: Solve for x
    x = 121,091,460,908.58/400,428.49
  6. Step 6: Final answer
    x = 302,404.71

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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.