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Finding the Fourth Proportional to 490,837.60, 735,219.60 and 407,893.60

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Solution

The fourth proportional to 490,837.60, 735,219.60 and 407,893.60 is: 610,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,837.60 : 735,219.60 = 407,893.60 : x
  2. Step 2: Convert to fraction form
    490,837.60/735,219.60 = 407,893.60/x
  3. Step 3: Cross multiply
    490,837.60x = 735,219.60 × 407,893.60
  4. Step 4: Simplify right side
    490,837.60x = 299,891,369,434.56
  5. Step 5: Solve for x
    x = 299,891,369,434.56/490,837.60
  6. Step 6: Final answer
    x = 610,978.80

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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.