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Finding the Fourth Proportional to 402,402.80, 603,604.20 and 309,090.80

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Solution

The fourth proportional to 402,402.80, 603,604.20 and 309,090.80 is: 463,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,402.80 : 603,604.20 = 309,090.80 : x
  2. Step 2: Convert to fraction form
    402,402.80/603,604.20 = 309,090.80/x
  3. Step 3: Cross multiply
    402,402.80x = 603,604.20 × 309,090.80
  4. Step 4: Simplify right side
    402,402.80x = 186,568,505,061.36
  5. Step 5: Solve for x
    x = 186,568,505,061.36/402,402.80
  6. Step 6: Final answer
    x = 463,636.20

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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.