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Finding the Fourth Proportional to 490,234.43, 735,394.01 and 135,248.45

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Solution

The fourth proportional to 490,234.43, 735,394.01 and 135,248.45 is: 202,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,234.43 : 735,394.01 = 135,248.45 : x
  2. Step 2: Convert to fraction form
    490,234.43/735,394.01 = 135,248.45/x
  3. Step 3: Cross multiply
    490,234.43x = 735,394.01 × 135,248.45
  4. Step 4: Simplify right side
    490,234.43x = 99,460,895,638.57
  5. Step 5: Solve for x
    x = 99,460,895,638.57/490,234.43
  6. Step 6: Final answer
    x = 202,884.36

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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.