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Finding the Fourth Proportional to 314,633.20, 471,172.20 and 208,879.60

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Solution

The fourth proportional to 314,633.20, 471,172.20 and 208,879.60 is: 312,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,633.20 : 471,172.20 = 208,879.60 : x
  2. Step 2: Convert to fraction form
    314,633.20/471,172.20 = 208,879.60/x
  3. Step 3: Cross multiply
    314,633.20x = 471,172.20 × 208,879.60
  4. Step 4: Simplify right side
    314,633.20x = 98,418,260,667.12
  5. Step 5: Solve for x
    x = 98,418,260,667.12/314,633.20
  6. Step 6: Final answer
    x = 312,803.16

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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.