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Finding the Fourth Proportional to 209,965.30, 314,832.30 and 143,480.50

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Solution

The fourth proportional to 209,965.30, 314,832.30 and 143,480.50 is: 215,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,965.30 : 314,832.30 = 143,480.50 : x
  2. Step 2: Convert to fraction form
    209,965.30/314,832.30 = 143,480.50/x
  3. Step 3: Cross multiply
    209,965.30x = 314,832.30 × 143,480.50
  4. Step 4: Simplify right side
    209,965.30x = 45,172,295,820.15
  5. Step 5: Solve for x
    x = 45,172,295,820.15/209,965.30
  6. Step 6: Final answer
    x = 215,141.72

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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.