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Finding the Fourth Proportional to 317,027.50, 475,747.32 and 137,288.46

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Solution

The fourth proportional to 317,027.50, 475,747.32 and 137,288.46 is: 206,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,027.50 : 475,747.32 = 137,288.46 : x
  2. Step 2: Convert to fraction form
    317,027.50/475,747.32 = 137,288.46/x
  3. Step 3: Cross multiply
    317,027.50x = 475,747.32 × 137,288.46
  4. Step 4: Simplify right side
    317,027.50x = 65,314,616,911.93
  5. Step 5: Solve for x
    x = 65,314,616,911.93/317,027.50
  6. Step 6: Final answer
    x = 206,021.93

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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.