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Finding the Fourth Proportional to 289,206.80, 433,810.20 and 131,742.80

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Solution

The fourth proportional to 289,206.80, 433,810.20 and 131,742.80 is: 197,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,206.80 : 433,810.20 = 131,742.80 : x
  2. Step 2: Convert to fraction form
    289,206.80/433,810.20 = 131,742.80/x
  3. Step 3: Cross multiply
    289,206.80x = 433,810.20 × 131,742.80
  4. Step 4: Simplify right side
    289,206.80x = 57,151,370,416.56
  5. Step 5: Solve for x
    x = 57,151,370,416.56/289,206.80
  6. Step 6: Final answer
    x = 197,614.20

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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.