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Finding the Fourth Proportional to 490,465.50, 735,697.26 and 135,478.47

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Solution

The fourth proportional to 490,465.50, 735,697.26 and 135,478.47 is: 203,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,465.50 : 735,697.26 = 135,478.47 : x
  2. Step 2: Convert to fraction form
    490,465.50/735,697.26 = 135,478.47/x
  3. Step 3: Cross multiply
    490,465.50x = 735,697.26 × 135,478.47
  4. Step 4: Simplify right side
    490,465.50x = 99,671,139,167.99
  5. Step 5: Solve for x
    x = 99,671,139,167.99/490,465.50
  6. Step 6: Final answer
    x = 203,217.43

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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.