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Finding the Fourth Proportional to 490,456.88, 735,288.30 and 153,323.96

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Solution

The fourth proportional to 490,456.88, 735,288.30 and 153,323.96 is: 229,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,456.88 : 735,288.30 = 153,323.96 : x
  2. Step 2: Convert to fraction form
    490,456.88/735,288.30 = 153,323.96/x
  3. Step 3: Cross multiply
    490,456.88x = 735,288.30 × 153,323.96
  4. Step 4: Simplify right side
    490,456.88x = 112,737,313,897.67
  5. Step 5: Solve for x
    x = 112,737,313,897.67/490,456.88
  6. Step 6: Final answer
    x = 229,861.83

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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.