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Finding the Fourth Proportional to 490,636.80, 735,978.96 and 135,642.96

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Solution

The fourth proportional to 490,636.80, 735,978.96 and 135,642.96 is: 203,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,636.80 : 735,978.96 = 135,642.96 : x
  2. Step 2: Convert to fraction form
    490,636.80/735,978.96 = 135,642.96/x
  3. Step 3: Cross multiply
    490,636.80x = 735,978.96 × 135,642.96
  4. Step 4: Simplify right side
    490,636.80x = 99,830,364,632.12
  5. Step 5: Solve for x
    x = 99,830,364,632.12/490,636.80
  6. Step 6: Final answer
    x = 203,471.01

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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.