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Finding the Fourth Proportional to 490,230.05, 735,606.30 and 190,720.40

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Solution

The fourth proportional to 490,230.05, 735,606.30 and 190,720.40 is: 286,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,230.05 : 735,606.30 = 190,720.40 : x
  2. Step 2: Convert to fraction form
    490,230.05/735,606.30 = 190,720.40/x
  3. Step 3: Cross multiply
    490,230.05x = 735,606.30 × 190,720.40
  4. Step 4: Simplify right side
    490,230.05x = 140,295,127,778.52
  5. Step 5: Solve for x
    x = 140,295,127,778.52/490,230.05
  6. Step 6: Final answer
    x = 286,182.23

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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.