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Finding the Fourth Proportional to 471,054.80, 706,121.40 and 190,197.20

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Solution

The fourth proportional to 471,054.80, 706,121.40 and 190,197.20 is: 285,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,054.80 : 706,121.40 = 190,197.20 : x
  2. Step 2: Convert to fraction form
    471,054.80/706,121.40 = 190,197.20/x
  3. Step 3: Cross multiply
    471,054.80x = 706,121.40 × 190,197.20
  4. Step 4: Simplify right side
    471,054.80x = 134,302,313,140.08
  5. Step 5: Solve for x
    x = 134,302,313,140.08/471,054.80
  6. Step 6: Final answer
    x = 285,109.74

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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.