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Finding the Fourth Proportional to 209,963.30, 314,829.30 and 143,478.50

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Solution

The fourth proportional to 209,963.30, 314,829.30 and 143,478.50 is: 215,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,963.30 : 314,829.30 = 143,478.50 : x
  2. Step 2: Convert to fraction form
    209,963.30/314,829.30 = 143,478.50/x
  3. Step 3: Cross multiply
    209,963.30x = 314,829.30 × 143,478.50
  4. Step 4: Simplify right side
    209,963.30x = 45,171,235,720.05
  5. Step 5: Solve for x
    x = 45,171,235,720.05/209,963.30
  6. Step 6: Final answer
    x = 215,138.72

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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.