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Finding the Fourth Proportional to 490,025.22, 735,088.68 and 135,039.30

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Solution

The fourth proportional to 490,025.22, 735,088.68 and 135,039.30 is: 202,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,025.22 : 735,088.68 = 135,039.30 : x
  2. Step 2: Convert to fraction form
    490,025.22/735,088.68 = 135,039.30/x
  3. Step 3: Cross multiply
    490,025.22x = 735,088.68 × 135,039.30
  4. Step 4: Simplify right side
    490,025.22x = 99,265,860,785.12
  5. Step 5: Solve for x
    x = 99,265,860,785.12/490,025.22
  6. Step 6: Final answer
    x = 202,572.96

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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.