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Finding the Fourth Proportional to 209,948.30, 314,922.45 and 206,999.90

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Solution

The fourth proportional to 209,948.30, 314,922.45 and 206,999.90 is: 310,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,948.30 : 314,922.45 = 206,999.90 : x
  2. Step 2: Convert to fraction form
    209,948.30/314,922.45 = 206,999.90/x
  3. Step 3: Cross multiply
    209,948.30x = 314,922.45 × 206,999.90
  4. Step 4: Simplify right side
    209,948.30x = 65,188,915,657.76
  5. Step 5: Solve for x
    x = 65,188,915,657.76/209,948.30
  6. Step 6: Final answer
    x = 310,499.85

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1.5x scale

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.