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Finding the Fourth Proportional to 253,852.08, 380,788.64 and 209,396.04

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Solution

The fourth proportional to 253,852.08, 380,788.64 and 209,396.04 is: 314,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,852.08 : 380,788.64 = 209,396.04 : x
  2. Step 2: Convert to fraction form
    253,852.08/380,788.64 = 209,396.04/x
  3. Step 3: Cross multiply
    253,852.08x = 380,788.64 × 209,396.04
  4. Step 4: Simplify right side
    253,852.08x = 79,735,632,246.01
  5. Step 5: Solve for x
    x = 79,735,632,246.01/253,852.08
  6. Step 6: Final answer
    x = 314,102.73

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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.