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Finding the Fourth Proportional to 553,231.34, 763,451.96 and 311,537.78

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Solution

The fourth proportional to 553,231.34, 763,451.96 and 311,537.78 is: 429,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,231.34 : 763,451.96 = 311,537.78 : x
  2. Step 2: Convert to fraction form
    553,231.34/763,451.96 = 311,537.78/x
  3. Step 3: Cross multiply
    553,231.34x = 763,451.96 × 311,537.78
  4. Step 4: Simplify right side
    553,231.34x = 237,844,128,755.05
  5. Step 5: Solve for x
    x = 237,844,128,755.05/553,231.34
  6. Step 6: Final answer
    x = 429,918.03

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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.