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Finding the Fourth Proportional to 290,057.52, 434,520.90 and 163,310.34

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Solution

The fourth proportional to 290,057.52, 434,520.90 and 163,310.34 is: 244,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,057.52 : 434,520.90 = 163,310.34 : x
  2. Step 2: Convert to fraction form
    290,057.52/434,520.90 = 163,310.34/x
  3. Step 3: Cross multiply
    290,057.52x = 434,520.90 × 163,310.34
  4. Step 4: Simplify right side
    290,057.52x = 70,961,755,916.11
  5. Step 5: Solve for x
    x = 70,961,755,916.11/290,057.52
  6. Step 6: Final answer
    x = 244,647.19

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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.