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Finding the Fourth Proportional to 490,149.34, 735,221.31 and 190,838.14

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Solution

The fourth proportional to 490,149.34, 735,221.31 and 190,838.14 is: 286,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,149.34 : 735,221.31 = 190,838.14 : x
  2. Step 2: Convert to fraction form
    490,149.34/735,221.31 = 190,838.14/x
  3. Step 3: Cross multiply
    490,149.34x = 735,221.31 × 190,838.14
  4. Step 4: Simplify right side
    490,149.34x = 140,308,267,288.76
  5. Step 5: Solve for x
    x = 140,308,267,288.76/490,149.34
  6. Step 6: Final answer
    x = 286,256.16

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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.