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Finding the Fourth Proportional to 309,401.70, 427,004.58 and 173,435.90

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Solution

The fourth proportional to 309,401.70, 427,004.58 and 173,435.90 is: 239,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,401.70 : 427,004.58 = 173,435.90 : x
  2. Step 2: Convert to fraction form
    309,401.70/427,004.58 = 173,435.90/x
  3. Step 3: Cross multiply
    309,401.70x = 427,004.58 × 173,435.90
  4. Step 4: Simplify right side
    309,401.70x = 74,057,923,636.42
  5. Step 5: Solve for x
    x = 74,057,923,636.42/309,401.70
  6. Step 6: Final answer
    x = 239,358.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.