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Finding the Fourth Proportional to 209,912.70, 314,869.05 and 201,747.90

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Solution

The fourth proportional to 209,912.70, 314,869.05 and 201,747.90 is: 302,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,912.70 : 314,869.05 = 201,747.90 : x
  2. Step 2: Convert to fraction form
    209,912.70/314,869.05 = 201,747.90/x
  3. Step 3: Cross multiply
    209,912.70x = 314,869.05 × 201,747.90
  4. Step 4: Simplify right side
    209,912.70x = 63,524,169,612.50
  5. Step 5: Solve for x
    x = 63,524,169,612.50/209,912.70
  6. Step 6: Final answer
    x = 302,621.85

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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.