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Finding the Fourth Proportional to 490,657.50, 735,986.25 and 158,233.50

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Solution

The fourth proportional to 490,657.50, 735,986.25 and 158,233.50 is: 237,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,657.50 : 735,986.25 = 158,233.50 : x
  2. Step 2: Convert to fraction form
    490,657.50/735,986.25 = 158,233.50/x
  3. Step 3: Cross multiply
    490,657.50x = 735,986.25 × 158,233.50
  4. Step 4: Simplify right side
    490,657.50x = 116,457,680,289.38
  5. Step 5: Solve for x
    x = 116,457,680,289.38/490,657.50
  6. Step 6: Final answer
    x = 237,350.25

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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.