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Finding the Fourth Proportional to 490,214.50, 735,321.76 and 157,790.50

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Solution

The fourth proportional to 490,214.50, 735,321.76 and 157,790.50 is: 236,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,214.50 : 735,321.76 = 157,790.50 : x
  2. Step 2: Convert to fraction form
    490,214.50/735,321.76 = 157,790.50/x
  3. Step 3: Cross multiply
    490,214.50x = 735,321.76 × 157,790.50
  4. Step 4: Simplify right side
    490,214.50x = 116,026,788,171.28
  5. Step 5: Solve for x
    x = 116,026,788,171.28/490,214.50
  6. Step 6: Final answer
    x = 236,685.75

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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.