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Finding the Fourth Proportional to 209,492.96, 289,049.90 and 123,455.48

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Solution

The fourth proportional to 209,492.96, 289,049.90 and 123,455.48 is: 170,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,492.96 : 289,049.90 = 123,455.48 : x
  2. Step 2: Convert to fraction form
    209,492.96/289,049.90 = 123,455.48/x
  3. Step 3: Cross multiply
    209,492.96x = 289,049.90 × 123,455.48
  4. Step 4: Simplify right side
    209,492.96x = 35,684,792,085.93
  5. Step 5: Solve for x
    x = 35,684,792,085.93/209,492.96
  6. Step 6: Final answer
    x = 170,338.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.