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Finding the Fourth Proportional to 471,215.45, 706,819.87 and 190,728.65

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Solution

The fourth proportional to 471,215.45, 706,819.87 and 190,728.65 is: 286,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,215.45 : 706,819.87 = 190,728.65 : x
  2. Step 2: Convert to fraction form
    471,215.45/706,819.87 = 190,728.65/x
  3. Step 3: Cross multiply
    471,215.45x = 706,819.87 × 190,728.65
  4. Step 4: Simplify right side
    471,215.45x = 134,810,799,598.28
  5. Step 5: Solve for x
    x = 134,810,799,598.28/471,215.45
  6. Step 6: Final answer
    x = 286,091.64

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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.