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Finding the Fourth Proportional to 260,209.80, 358,980.72 and 202,749.33

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Solution

The fourth proportional to 260,209.80, 358,980.72 and 202,749.33 is: 279,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,209.80 : 358,980.72 = 202,749.33 : x
  2. Step 2: Convert to fraction form
    260,209.80/358,980.72 = 202,749.33/x
  3. Step 3: Cross multiply
    260,209.80x = 358,980.72 × 202,749.33
  4. Step 4: Simplify right side
    260,209.80x = 72,783,100,462.92
  5. Step 5: Solve for x
    x = 72,783,100,462.92/260,209.80
  6. Step 6: Final answer
    x = 279,709.30

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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.