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Finding the Fourth Proportional to 275,046.78, 413,045.82 and 163,428.36

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Solution

The fourth proportional to 275,046.78, 413,045.82 and 163,428.36 is: 245,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,046.78 : 413,045.82 = 163,428.36 : x
  2. Step 2: Convert to fraction form
    275,046.78/413,045.82 = 163,428.36/x
  3. Step 3: Cross multiply
    275,046.78x = 413,045.82 × 163,428.36
  4. Step 4: Simplify right side
    275,046.78x = 67,503,400,967.46
  5. Step 5: Solve for x
    x = 67,503,400,967.46/275,046.78
  6. Step 6: Final answer
    x = 245,425.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.