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Finding the Fourth Proportional to 498,517.05, 748,005.21 and 309,199.40

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Solution

The fourth proportional to 498,517.05, 748,005.21 and 309,199.40 is: 463,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,517.05 : 748,005.21 = 309,199.40 : x
  2. Step 2: Convert to fraction form
    498,517.05/748,005.21 = 309,199.40/x
  3. Step 3: Cross multiply
    498,517.05x = 748,005.21 × 309,199.40
  4. Step 4: Simplify right side
    498,517.05x = 231,282,762,128.87
  5. Step 5: Solve for x
    x = 231,282,762,128.87/498,517.05
  6. Step 6: Final answer
    x = 463,941.53

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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.