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Finding the Fourth Proportional to 471,287.07, 706,824.09 and 134,320.50

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Solution

The fourth proportional to 471,287.07, 706,824.09 and 134,320.50 is: 201,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,287.07 : 706,824.09 = 134,320.50 : x
  2. Step 2: Convert to fraction form
    471,287.07/706,824.09 = 134,320.50/x
  3. Step 3: Cross multiply
    471,287.07x = 706,824.09 × 134,320.50
  4. Step 4: Simplify right side
    471,287.07x = 94,940,965,180.85
  5. Step 5: Solve for x
    x = 94,940,965,180.85/471,287.07
  6. Step 6: Final answer
    x = 201,450.39

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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.